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Finding the Fourth Proportional to 140,307.40, 210,322.56 and 56,016.78

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Solution

The fourth proportional to 140,307.40, 210,322.56 and 56,016.78 is: 83,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,307.40 : 210,322.56 = 56,016.78 : x
  2. Step 2: Convert to fraction form
    140,307.40/210,322.56 = 56,016.78/x
  3. Step 3: Cross multiply
    140,307.40x = 210,322.56 × 56,016.78
  4. Step 4: Simplify right side
    140,307.40x = 11,781,592,572.56
  5. Step 5: Solve for x
    x = 11,781,592,572.56/140,307.40
  6. Step 6: Final answer
    x = 83,969.86

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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.