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Finding the Fourth Proportional to 96,313.30, 144,469.95 and 72,985.30

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Solution

The fourth proportional to 96,313.30, 144,469.95 and 72,985.30 is: 109,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,313.30 : 144,469.95 = 72,985.30 : x
  2. Step 2: Convert to fraction form
    96,313.30/144,469.95 = 72,985.30/x
  3. Step 3: Cross multiply
    96,313.30x = 144,469.95 × 72,985.30
  4. Step 4: Simplify right side
    96,313.30x = 10,544,182,641.74
  5. Step 5: Solve for x
    x = 10,544,182,641.74/96,313.30
  6. Step 6: Final answer
    x = 109,477.95

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1.5x scale

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.