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Finding the Fourth Proportional to 114,062.32, 157,407.01 and 63,078.47

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Solution

The fourth proportional to 114,062.32, 157,407.01 and 63,078.47 is: 87,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,062.32 : 157,407.01 = 63,078.47 : x
  2. Step 2: Convert to fraction form
    114,062.32/157,407.01 = 63,078.47/x
  3. Step 3: Cross multiply
    114,062.32x = 157,407.01 × 63,078.47
  4. Step 4: Simplify right side
    114,062.32x = 9,928,993,358.07
  5. Step 5: Solve for x
    x = 9,928,993,358.07/114,062.32
  6. Step 6: Final answer
    x = 87,048.85

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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.