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Finding the Fourth Proportional to 102,308.52, 153,363.60 and 52,412.16

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Solution

The fourth proportional to 102,308.52, 153,363.60 and 52,412.16 is: 78,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,308.52 : 153,363.60 = 52,412.16 : x
  2. Step 2: Convert to fraction form
    102,308.52/153,363.60 = 52,412.16/x
  3. Step 3: Cross multiply
    102,308.52x = 153,363.60 × 52,412.16
  4. Step 4: Simplify right side
    102,308.52x = 8,038,117,541.38
  5. Step 5: Solve for x
    x = 8,038,117,541.38/102,308.52
  6. Step 6: Final answer
    x = 78,567.43

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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.