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Finding the Fourth Proportional to 140,473.92, 210,595.41 and 65,557.02

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Solution

The fourth proportional to 140,473.92, 210,595.41 and 65,557.02 is: 98,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,473.92 : 210,595.41 = 65,557.02 : x
  2. Step 2: Convert to fraction form
    140,473.92/210,595.41 = 65,557.02/x
  3. Step 3: Cross multiply
    140,473.92x = 210,595.41 × 65,557.02
  4. Step 4: Simplify right side
    140,473.92x = 13,806,007,505.28
  5. Step 5: Solve for x
    x = 13,806,007,505.28/140,473.92
  6. Step 6: Final answer
    x = 98,281.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.