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Finding the Fourth Proportional to 96,461.90, 144,498.45 and 64,969.10

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Solution

The fourth proportional to 96,461.90, 144,498.45 and 64,969.10 is: 97,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,461.90 : 144,498.45 = 64,969.10 : x
  2. Step 2: Convert to fraction form
    96,461.90/144,498.45 = 64,969.10/x
  3. Step 3: Cross multiply
    96,461.90x = 144,498.45 × 64,969.10
  4. Step 4: Simplify right side
    96,461.90x = 9,387,934,247.90
  5. Step 5: Solve for x
    x = 9,387,934,247.90/96,461.90
  6. Step 6: Final answer
    x = 97,322.72

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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.