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Finding the Fourth Proportional to 287,141, 430,731.27 and 97,523.96

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Solution

The fourth proportional to 287,141, 430,731.27 and 97,523.96 is: 146,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,141 : 430,731.27 = 97,523.96 : x
  2. Step 2: Convert to fraction form
    287,141/430,731.27 = 97,523.96/x
  3. Step 3: Cross multiply
    287,141x = 430,731.27 × 97,523.96
  4. Step 4: Simplify right side
    287,141x = 42,006,619,146.23
  5. Step 5: Solve for x
    x = 42,006,619,146.23/287,141
  6. Step 6: Final answer
    x = 146,292.65

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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.