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Finding the Fourth Proportional to 227,901.48, 341,921.40 and 161,470.08

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Solution

The fourth proportional to 227,901.48, 341,921.40 and 161,470.08 is: 242,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,901.48 : 341,921.40 = 161,470.08 : x
  2. Step 2: Convert to fraction form
    227,901.48/341,921.40 = 161,470.08/x
  3. Step 3: Cross multiply
    227,901.48x = 341,921.40 × 161,470.08
  4. Step 4: Simplify right side
    227,901.48x = 55,210,075,811.71
  5. Step 5: Solve for x
    x = 55,210,075,811.71/227,901.48
  6. Step 6: Final answer
    x = 242,254.13

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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.