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Finding the Fourth Proportional to 99,423.40, 148,916.40 and 86,301.40

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Solution

The fourth proportional to 99,423.40, 148,916.40 and 86,301.40 is: 129,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,423.40 : 148,916.40 = 86,301.40 : x
  2. Step 2: Convert to fraction form
    99,423.40/148,916.40 = 86,301.40/x
  3. Step 3: Cross multiply
    99,423.40x = 148,916.40 × 86,301.40
  4. Step 4: Simplify right side
    99,423.40x = 12,851,693,802.96
  5. Step 5: Solve for x
    x = 12,851,693,802.96/99,423.40
  6. Step 6: Final answer
    x = 129,262.26

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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.