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Finding the Fourth Proportional to 152,004.70, 212,962.10 and 152,004.70

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Solution

The fourth proportional to 152,004.70, 212,962.10 and 152,004.70 is: 212,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,004.70 : 212,962.10 = 152,004.70 : x
  2. Step 2: Convert to fraction form
    152,004.70/212,962.10 = 152,004.70/x
  3. Step 3: Cross multiply
    152,004.70x = 212,962.10 × 152,004.70
  4. Step 4: Simplify right side
    152,004.70x = 32,371,240,121.87
  5. Step 5: Solve for x
    x = 32,371,240,121.87/152,004.70
  6. Step 6: Final answer
    x = 212,962.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.