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Finding the Fourth Proportional to 313,117.32, 432,142.62 and 175,348.71

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Solution

The fourth proportional to 313,117.32, 432,142.62 and 175,348.71 is: 242,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,117.32 : 432,142.62 = 175,348.71 : x
  2. Step 2: Convert to fraction form
    313,117.32/432,142.62 = 175,348.71/x
  3. Step 3: Cross multiply
    313,117.32x = 432,142.62 × 175,348.71
  4. Step 4: Simplify right side
    313,117.32x = 75,775,650,953.02
  5. Step 5: Solve for x
    x = 75,775,650,953.02/313,117.32
  6. Step 6: Final answer
    x = 242,004.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.