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Finding the Fourth Proportional to 105,264, 145,264.32 and 60,552

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Solution

The fourth proportional to 105,264, 145,264.32 and 60,552 is: 83,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,264 : 145,264.32 = 60,552 : x
  2. Step 2: Convert to fraction form
    105,264/145,264.32 = 60,552/x
  3. Step 3: Cross multiply
    105,264x = 145,264.32 × 60,552
  4. Step 4: Simplify right side
    105,264x = 8,796,045,104.64
  5. Step 5: Solve for x
    x = 8,796,045,104.64/105,264
  6. Step 6: Final answer
    x = 83,561.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.