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Finding the Fourth Proportional to 152,551.53, 210,523.23 and 83,647.46

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Solution

The fourth proportional to 152,551.53, 210,523.23 and 83,647.46 is: 115,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,551.53 : 210,523.23 = 83,647.46 : x
  2. Step 2: Convert to fraction form
    152,551.53/210,523.23 = 83,647.46/x
  3. Step 3: Cross multiply
    152,551.53x = 210,523.23 × 83,647.46
  4. Step 4: Simplify right side
    152,551.53x = 17,609,732,407.88
  5. Step 5: Solve for x
    x = 17,609,732,407.88/152,551.53
  6. Step 6: Final answer
    x = 115,434.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.