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Finding the Fourth Proportional to 616,165.68, 924,241.20 and 195,445.20

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Solution

The fourth proportional to 616,165.68, 924,241.20 and 195,445.20 is: 293,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,165.68 : 924,241.20 = 195,445.20 : x
  2. Step 2: Convert to fraction form
    616,165.68/924,241.20 = 195,445.20/x
  3. Step 3: Cross multiply
    616,165.68x = 924,241.20 × 195,445.20
  4. Step 4: Simplify right side
    616,165.68x = 180,638,506,182.24
  5. Step 5: Solve for x
    x = 180,638,506,182.24/616,165.68
  6. Step 6: Final answer
    x = 293,165.48

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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.