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Finding the Fourth Proportional to 157,275.69, 235,916.27 and 52,097.40

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Solution

The fourth proportional to 157,275.69, 235,916.27 and 52,097.40 is: 78,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,275.69 : 235,916.27 = 52,097.40 : x
  2. Step 2: Convert to fraction form
    157,275.69/235,916.27 = 52,097.40/x
  3. Step 3: Cross multiply
    157,275.69x = 235,916.27 × 52,097.40
  4. Step 4: Simplify right side
    157,275.69x = 12,290,624,024.21
  5. Step 5: Solve for x
    x = 12,290,624,024.21/157,275.69
  6. Step 6: Final answer
    x = 78,147.00

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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.