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Finding the Fourth Proportional to 114,952, 158,633.78 and 64,651

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Solution

The fourth proportional to 114,952, 158,633.78 and 64,651 is: 89,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,952 : 158,633.78 = 64,651 : x
  2. Step 2: Convert to fraction form
    114,952/158,633.78 = 64,651/x
  3. Step 3: Cross multiply
    114,952x = 158,633.78 × 64,651
  4. Step 4: Simplify right side
    114,952x = 10,255,832,510.78
  5. Step 5: Solve for x
    x = 10,255,832,510.78/114,952
  6. Step 6: Final answer
    x = 89,218.39

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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.