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Finding the Fourth Proportional to 616,103.70, 924,069.15 and 195,422.10

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Solution

The fourth proportional to 616,103.70, 924,069.15 and 195,422.10 is: 293,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,103.70 : 924,069.15 = 195,422.10 : x
  2. Step 2: Convert to fraction form
    616,103.70/924,069.15 = 195,422.10/x
  3. Step 3: Cross multiply
    616,103.70x = 924,069.15 × 195,422.10
  4. Step 4: Simplify right side
    616,103.70x = 180,583,533,838.22
  5. Step 5: Solve for x
    x = 180,583,533,838.22/616,103.70
  6. Step 6: Final answer
    x = 293,105.74

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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.