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Finding the Fourth Proportional to 140,489, 210,689.76 and 46,972.88

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Solution

The fourth proportional to 140,489, 210,689.76 and 46,972.88 is: 70,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,489 : 210,689.76 = 46,972.88 : x
  2. Step 2: Convert to fraction form
    140,489/210,689.76 = 46,972.88/x
  3. Step 3: Cross multiply
    140,489x = 210,689.76 × 46,972.88
  4. Step 4: Simplify right side
    140,489x = 9,896,704,813.71
  5. Step 5: Solve for x
    x = 9,896,704,813.71/140,489
  6. Step 6: Final answer
    x = 70,444.70

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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.