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Finding the Fourth Proportional to 175,931.71, 242,783.12 and 99,448.11

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Solution

The fourth proportional to 175,931.71, 242,783.12 and 99,448.11 is: 137,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,931.71 : 242,783.12 = 99,448.11 : x
  2. Step 2: Convert to fraction form
    175,931.71/242,783.12 = 99,448.11/x
  3. Step 3: Cross multiply
    175,931.71x = 242,783.12 × 99,448.11
  4. Step 4: Simplify right side
    175,931.71x = 24,144,322,672.52
  5. Step 5: Solve for x
    x = 24,144,322,672.52/175,931.71
  6. Step 6: Final answer
    x = 137,236.90

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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.