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Finding the Fourth Proportional to 416,602, 625,009.56 and 121,114

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Solution

The fourth proportional to 416,602, 625,009.56 and 121,114 is: 181,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,602 : 625,009.56 = 121,114 : x
  2. Step 2: Convert to fraction form
    416,602/625,009.56 = 121,114/x
  3. Step 3: Cross multiply
    416,602x = 625,009.56 × 121,114
  4. Step 4: Simplify right side
    416,602x = 75,697,407,849.84
  5. Step 5: Solve for x
    x = 75,697,407,849.84/416,602
  6. Step 6: Final answer
    x = 181,701.98

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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.