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Finding the Fourth Proportional to 229,957.64, 345,158.91 and 165,981.74

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Solution

The fourth proportional to 229,957.64, 345,158.91 and 165,981.74 is: 249,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,957.64 : 345,158.91 = 165,981.74 : x
  2. Step 2: Convert to fraction form
    229,957.64/345,158.91 = 165,981.74/x
  3. Step 3: Cross multiply
    229,957.64x = 345,158.91 × 165,981.74
  4. Step 4: Simplify right side
    229,957.64x = 57,290,074,732.51
  5. Step 5: Solve for x
    x = 57,290,074,732.51/229,957.64
  6. Step 6: Final answer
    x = 249,133.17

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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.