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Finding the Fourth Proportional to 102,016.32, 153,000.18 and 42,853.14

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Solution

The fourth proportional to 102,016.32, 153,000.18 and 42,853.14 is: 64,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016.32 : 153,000.18 = 42,853.14 : x
  2. Step 2: Convert to fraction form
    102,016.32/153,000.18 = 42,853.14/x
  3. Step 3: Cross multiply
    102,016.32x = 153,000.18 × 42,853.14
  4. Step 4: Simplify right side
    102,016.32x = 6,556,538,133.57
  5. Step 5: Solve for x
    x = 6,556,538,133.57/102,016.32
  6. Step 6: Final answer
    x = 64,269.50

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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.