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Finding the Fourth Proportional to 144,264, 216,393.12 and 65,363.52

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Solution

The fourth proportional to 144,264, 216,393.12 and 65,363.52 is: 98,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,264 : 216,393.12 = 65,363.52 : x
  2. Step 2: Convert to fraction form
    144,264/216,393.12 = 65,363.52/x
  3. Step 3: Cross multiply
    144,264x = 216,393.12 × 65,363.52
  4. Step 4: Simplify right side
    144,264x = 14,144,216,026.98
  5. Step 5: Solve for x
    x = 14,144,216,026.98/144,264
  6. Step 6: Final answer
    x = 98,043.98

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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.