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Finding the Fourth Proportional to 121,200.64, 181,800.95 and 38,094.64

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Solution

The fourth proportional to 121,200.64, 181,800.95 and 38,094.64 is: 57,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,200.64 : 181,800.95 = 38,094.64 : x
  2. Step 2: Convert to fraction form
    121,200.64/181,800.95 = 38,094.64/x
  3. Step 3: Cross multiply
    121,200.64x = 181,800.95 × 38,094.64
  4. Step 4: Simplify right side
    121,200.64x = 6,925,641,096.93
  5. Step 5: Solve for x
    x = 6,925,641,096.93/121,200.64
  6. Step 6: Final answer
    x = 57,141.95

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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.