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Finding the Fourth Proportional to 182,602.71, 252,151.92 and 114,737.40

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Solution

The fourth proportional to 182,602.71, 252,151.92 and 114,737.40 is: 158,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,602.71 : 252,151.92 = 114,737.40 : x
  2. Step 2: Convert to fraction form
    182,602.71/252,151.92 = 114,737.40/x
  3. Step 3: Cross multiply
    182,602.71x = 252,151.92 × 114,737.40
  4. Step 4: Simplify right side
    182,602.71x = 28,931,255,705.81
  5. Step 5: Solve for x
    x = 28,931,255,705.81/182,602.71
  6. Step 6: Final answer
    x = 158,438.26

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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.