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Finding the Fourth Proportional to 616,095.70, 924,057.15 and 195,414.10

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Solution

The fourth proportional to 616,095.70, 924,057.15 and 195,414.10 is: 293,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,095.70 : 924,057.15 = 195,414.10 : x
  2. Step 2: Convert to fraction form
    616,095.70/924,057.15 = 195,414.10/x
  3. Step 3: Cross multiply
    616,095.70x = 924,057.15 × 195,414.10
  4. Step 4: Simplify right side
    616,095.70x = 180,573,796,315.82
  5. Step 5: Solve for x
    x = 180,573,796,315.82/616,095.70
  6. Step 6: Final answer
    x = 293,093.75

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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.