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Finding the Fourth Proportional to 96,461.10, 144,852.21 and 65,073.18

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Solution

The fourth proportional to 96,461.10, 144,852.21 and 65,073.18 is: 97,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,461.10 : 144,852.21 = 65,073.18 : x
  2. Step 2: Convert to fraction form
    96,461.10/144,852.21 = 65,073.18/x
  3. Step 3: Cross multiply
    96,461.10x = 144,852.21 × 65,073.18
  4. Step 4: Simplify right side
    96,461.10x = 9,425,993,934.73
  5. Step 5: Solve for x
    x = 9,425,993,934.73/96,461.10
  6. Step 6: Final answer
    x = 97,718.08

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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.