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Finding the Fourth Proportional to 229,068, 316,148.40 and 139,695.84

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Solution

The fourth proportional to 229,068, 316,148.40 and 139,695.84 is: 192,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,068 : 316,148.40 = 139,695.84 : x
  2. Step 2: Convert to fraction form
    229,068/316,148.40 = 139,695.84/x
  3. Step 3: Cross multiply
    229,068x = 316,148.40 × 139,695.84
  4. Step 4: Simplify right side
    229,068x = 44,164,616,302.66
  5. Step 5: Solve for x
    x = 44,164,616,302.66/229,068
  6. Step 6: Final answer
    x = 192,801.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.