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Finding the Fourth Proportional to 616,083.30, 924,157.98 and 195,391.98

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Solution

The fourth proportional to 616,083.30, 924,157.98 and 195,391.98 is: 293,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,083.30 : 924,157.98 = 195,391.98 : x
  2. Step 2: Convert to fraction form
    616,083.30/924,157.98 = 195,391.98/x
  3. Step 3: Cross multiply
    616,083.30x = 924,157.98 × 195,391.98
  4. Step 4: Simplify right side
    616,083.30x = 180,573,057,545.00
  5. Step 5: Solve for x
    x = 180,573,057,545.00/616,083.30
  6. Step 6: Final answer
    x = 293,098.45

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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.