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Finding the Fourth Proportional to 144,462.30, 216,628.65 and 65,535.90

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Solution

The fourth proportional to 144,462.30, 216,628.65 and 65,535.90 is: 98,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,462.30 : 216,628.65 = 65,535.90 : x
  2. Step 2: Convert to fraction form
    144,462.30/216,628.65 = 65,535.90/x
  3. Step 3: Cross multiply
    144,462.30x = 216,628.65 × 65,535.90
  4. Step 4: Simplify right side
    144,462.30x = 14,196,953,543.54
  5. Step 5: Solve for x
    x = 14,196,953,543.54/144,462.30
  6. Step 6: Final answer
    x = 98,274.45

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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.