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Finding the Fourth Proportional to 102,344.61, 153,546.61 and 42,362.04

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Solution

The fourth proportional to 102,344.61, 153,546.61 and 42,362.04 is: 63,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,344.61 : 153,546.61 = 42,362.04 : x
  2. Step 2: Convert to fraction form
    102,344.61/153,546.61 = 42,362.04/x
  3. Step 3: Cross multiply
    102,344.61x = 153,546.61 × 42,362.04
  4. Step 4: Simplify right side
    102,344.61x = 6,504,547,439.45
  5. Step 5: Solve for x
    x = 6,504,547,439.45/102,344.61
  6. Step 6: Final answer
    x = 63,555.35

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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.