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Finding the Fourth Proportional to 114,031.57, 157,356.78 and 63,041.24

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Solution

The fourth proportional to 114,031.57, 157,356.78 and 63,041.24 is: 86,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,031.57 : 157,356.78 = 63,041.24 : x
  2. Step 2: Convert to fraction form
    114,031.57/157,356.78 = 63,041.24/x
  3. Step 3: Cross multiply
    114,031.57x = 157,356.78 × 63,041.24
  4. Step 4: Simplify right side
    114,031.57x = 9,919,966,533.61
  5. Step 5: Solve for x
    x = 9,919,966,533.61/114,031.57
  6. Step 6: Final answer
    x = 86,993.16

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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.