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Finding the Fourth Proportional to 229,473.71, 316,719.27 and 146,634.74

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Solution

The fourth proportional to 229,473.71, 316,719.27 and 146,634.74 is: 202,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,473.71 : 316,719.27 = 146,634.74 : x
  2. Step 2: Convert to fraction form
    229,473.71/316,719.27 = 146,634.74/x
  3. Step 3: Cross multiply
    229,473.71x = 316,719.27 × 146,634.74
  4. Step 4: Simplify right side
    229,473.71x = 46,442,046,225.84
  5. Step 5: Solve for x
    x = 46,442,046,225.84/229,473.71
  6. Step 6: Final answer
    x = 202,385.05

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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.