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Finding the Fourth Proportional to 229,417, 316,458.18 and 144,386.44

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Solution

The fourth proportional to 229,417, 316,458.18 and 144,386.44 is: 199,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,417 : 316,458.18 = 144,386.44 : x
  2. Step 2: Convert to fraction form
    229,417/316,458.18 = 144,386.44/x
  3. Step 3: Cross multiply
    229,417x = 316,458.18 × 144,386.44
  4. Step 4: Simplify right side
    229,417x = 45,692,270,019.08
  5. Step 5: Solve for x
    x = 45,692,270,019.08/229,417
  6. Step 6: Final answer
    x = 199,166.89

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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.