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Finding the Fourth Proportional to 277,020, 415,382.16 and 143,766.12

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Solution

The fourth proportional to 277,020, 415,382.16 and 143,766.12 is: 215,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,020 : 415,382.16 = 143,766.12 : x
  2. Step 2: Convert to fraction form
    277,020/415,382.16 = 143,766.12/x
  3. Step 3: Cross multiply
    277,020x = 415,382.16 × 143,766.12
  4. Step 4: Simplify right side
    277,020x = 59,717,881,460.42
  5. Step 5: Solve for x
    x = 59,717,881,460.42/277,020
  6. Step 6: Final answer
    x = 215,572.45

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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.