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Finding the Fourth Proportional to 178,475.94, 267,746.67 and 145,488.69

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Solution

The fourth proportional to 178,475.94, 267,746.67 and 145,488.69 is: 218,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,475.94 : 267,746.67 = 145,488.69 : x
  2. Step 2: Convert to fraction form
    178,475.94/267,746.67 = 145,488.69/x
  3. Step 3: Cross multiply
    178,475.94x = 267,746.67 × 145,488.69
  4. Step 4: Simplify right side
    178,475.94x = 38,954,112,270.16
  5. Step 5: Solve for x
    x = 38,954,112,270.16/178,475.94
  6. Step 6: Final answer
    x = 218,259.74

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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.