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Finding the Fourth Proportional to 272,242.96, 407,948.64 and 114,385.12

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Solution

The fourth proportional to 272,242.96, 407,948.64 and 114,385.12 is: 171,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,242.96 : 407,948.64 = 114,385.12 : x
  2. Step 2: Convert to fraction form
    272,242.96/407,948.64 = 114,385.12/x
  3. Step 3: Cross multiply
    272,242.96x = 407,948.64 × 114,385.12
  4. Step 4: Simplify right side
    272,242.96x = 46,663,254,140.24
  5. Step 5: Solve for x
    x = 46,663,254,140.24/272,242.96
  6. Step 6: Final answer
    x = 171,402.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.