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Finding the Fourth Proportional to 287,139, 430,728.27 and 97,521.96

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Solution

The fourth proportional to 287,139, 430,728.27 and 97,521.96 is: 146,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,139 : 430,728.27 = 97,521.96 : x
  2. Step 2: Convert to fraction form
    287,139/430,728.27 = 97,521.96/x
  3. Step 3: Cross multiply
    287,139x = 430,728.27 × 97,521.96
  4. Step 4: Simplify right side
    287,139x = 42,005,465,117.81
  5. Step 5: Solve for x
    x = 42,005,465,117.81/287,139
  6. Step 6: Final answer
    x = 146,289.65

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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.