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Finding the Fourth Proportional to 102,326.40, 153,387.84 and 43,176.96

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Solution

The fourth proportional to 102,326.40, 153,387.84 and 43,176.96 is: 64,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,326.40 : 153,387.84 = 43,176.96 : x
  2. Step 2: Convert to fraction form
    102,326.40/153,387.84 = 43,176.96/x
  3. Step 3: Cross multiply
    102,326.40x = 153,387.84 × 43,176.96
  4. Step 4: Simplify right side
    102,326.40x = 6,622,820,632.17
  5. Step 5: Solve for x
    x = 6,622,820,632.17/102,326.40
  6. Step 6: Final answer
    x = 64,722.50

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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.