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Finding the Fourth Proportional to 345,712.50, 518,656.23 and 96,394.50

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Solution

The fourth proportional to 345,712.50, 518,656.23 and 96,394.50 is: 144,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,712.50 : 518,656.23 = 96,394.50 : x
  2. Step 2: Convert to fraction form
    345,712.50/518,656.23 = 96,394.50/x
  3. Step 3: Cross multiply
    345,712.50x = 518,656.23 × 96,394.50
  4. Step 4: Simplify right side
    345,712.50x = 49,995,607,962.74
  5. Step 5: Solve for x
    x = 49,995,607,962.74/345,712.50
  6. Step 6: Final answer
    x = 144,616.14

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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.