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Finding the Fourth Proportional to 468,701.06, 703,088.03 and 153,189.86

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Solution

The fourth proportional to 468,701.06, 703,088.03 and 153,189.86 is: 229,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,701.06 : 703,088.03 = 153,189.86 : x
  2. Step 2: Convert to fraction form
    468,701.06/703,088.03 = 153,189.86/x
  3. Step 3: Cross multiply
    468,701.06x = 703,088.03 × 153,189.86
  4. Step 4: Simplify right side
    468,701.06x = 107,705,954,359.71
  5. Step 5: Solve for x
    x = 107,705,954,359.71/468,701.06
  6. Step 6: Final answer
    x = 229,796.70

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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.