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Finding the Fourth Proportional to 114,463.32, 157,964.49 and 63,472.63

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Solution

The fourth proportional to 114,463.32, 157,964.49 and 63,472.63 is: 87,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,463.32 : 157,964.49 = 63,472.63 : x
  2. Step 2: Convert to fraction form
    114,463.32/157,964.49 = 63,472.63/x
  3. Step 3: Cross multiply
    114,463.32x = 157,964.49 × 63,472.63
  4. Step 4: Simplify right side
    114,463.32x = 10,026,421,284.23
  5. Step 5: Solve for x
    x = 10,026,421,284.23/114,463.32
  6. Step 6: Final answer
    x = 87,595.06

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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.