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Finding the Fourth Proportional to 210,094.60, 289,923.38 and 125,210.12

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Solution

The fourth proportional to 210,094.60, 289,923.38 and 125,210.12 is: 172,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,094.60 : 289,923.38 = 125,210.12 : x
  2. Step 2: Convert to fraction form
    210,094.60/289,923.38 = 125,210.12/x
  3. Step 3: Cross multiply
    210,094.60x = 289,923.38 × 125,210.12
  4. Step 4: Simplify right side
    210,094.60x = 36,301,341,200.61
  5. Step 5: Solve for x
    x = 36,301,341,200.61/210,094.60
  6. Step 6: Final answer
    x = 172,785.69

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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.