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Finding the Fourth Proportional to 102,564.30, 153,846.45 and 67,572.30

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Solution

The fourth proportional to 102,564.30, 153,846.45 and 67,572.30 is: 101,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.30 : 153,846.45 = 67,572.30 : x
  2. Step 2: Convert to fraction form
    102,564.30/153,846.45 = 67,572.30/x
  3. Step 3: Cross multiply
    102,564.30x = 153,846.45 × 67,572.30
  4. Step 4: Simplify right side
    102,564.30x = 10,395,758,473.34
  5. Step 5: Solve for x
    x = 10,395,758,473.34/102,564.30
  6. Step 6: Final answer
    x = 101,358.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.