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Finding the Fourth Proportional to 508,075.48, 762,113.57 and 129,024.64

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Solution

The fourth proportional to 508,075.48, 762,113.57 and 129,024.64 is: 193,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,075.48 : 762,113.57 = 129,024.64 : x
  2. Step 2: Convert to fraction form
    508,075.48/762,113.57 = 129,024.64/x
  3. Step 3: Cross multiply
    508,075.48x = 762,113.57 × 129,024.64
  4. Step 4: Simplify right side
    508,075.48x = 98,331,424,552.67
  5. Step 5: Solve for x
    x = 98,331,424,552.67/508,075.48
  6. Step 6: Final answer
    x = 193,537.04

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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.