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Finding the Fourth Proportional to 175,407.12, 242,070.12 and 99,954

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Solution

The fourth proportional to 175,407.12, 242,070.12 and 99,954 is: 137,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,407.12 : 242,070.12 = 99,954 : x
  2. Step 2: Convert to fraction form
    175,407.12/242,070.12 = 99,954/x
  3. Step 3: Cross multiply
    175,407.12x = 242,070.12 × 99,954
  4. Step 4: Simplify right side
    175,407.12x = 24,195,876,774.48
  5. Step 5: Solve for x
    x = 24,195,876,774.48/175,407.12
  6. Step 6: Final answer
    x = 137,941.25

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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.