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Finding the Fourth Proportional to 280,020, 386,416.80 and 159,177.18

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Solution

The fourth proportional to 280,020, 386,416.80 and 159,177.18 is: 219,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,020 : 386,416.80 = 159,177.18 : x
  2. Step 2: Convert to fraction form
    280,020/386,416.80 = 159,177.18/x
  3. Step 3: Cross multiply
    280,020x = 386,416.80 × 159,177.18
  4. Step 4: Simplify right side
    280,020x = 61,508,736,528.62
  5. Step 5: Solve for x
    x = 61,508,736,528.62/280,020
  6. Step 6: Final answer
    x = 219,658.37

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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.