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Finding the Fourth Proportional to 177,812.30, 266,345.85 and 83,123.30

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Solution

The fourth proportional to 177,812.30, 266,345.85 and 83,123.30 is: 124,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,812.30 : 266,345.85 = 83,123.30 : x
  2. Step 2: Convert to fraction form
    177,812.30/266,345.85 = 83,123.30/x
  3. Step 3: Cross multiply
    177,812.30x = 266,345.85 × 83,123.30
  4. Step 4: Simplify right side
    177,812.30x = 22,139,545,993.31
  5. Step 5: Solve for x
    x = 22,139,545,993.31/177,812.30
  6. Step 6: Final answer
    x = 124,510.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.