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Finding the Fourth Proportional to 152,156.66, 209,972.40 and 84,177.42

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Solution

The fourth proportional to 152,156.66, 209,972.40 and 84,177.42 is: 116,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,156.66 : 209,972.40 = 84,177.42 : x
  2. Step 2: Convert to fraction form
    152,156.66/209,972.40 = 84,177.42/x
  3. Step 3: Cross multiply
    152,156.66x = 209,972.40 × 84,177.42
  4. Step 4: Simplify right side
    152,156.66x = 17,674,934,903.21
  5. Step 5: Solve for x
    x = 17,674,934,903.21/152,156.66
  6. Step 6: Final answer
    x = 116,162.74

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