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Finding the Fourth Proportional to 137,302.71, 205,582.37 and 97,156.68

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Solution

The fourth proportional to 137,302.71, 205,582.37 and 97,156.68 is: 145,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,302.71 : 205,582.37 = 97,156.68 : x
  2. Step 2: Convert to fraction form
    137,302.71/205,582.37 = 97,156.68/x
  3. Step 3: Cross multiply
    137,302.71x = 205,582.37 × 97,156.68
  4. Step 4: Simplify right side
    137,302.71x = 19,973,700,535.73
  5. Step 5: Solve for x
    x = 19,973,700,535.73/137,302.71
  6. Step 6: Final answer
    x = 145,472.01

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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.