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Finding the Fourth Proportional to 229,066.15, 316,097.02 and 138,368.53

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Solution

The fourth proportional to 229,066.15, 316,097.02 and 138,368.53 is: 190,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,066.15 : 316,097.02 = 138,368.53 : x
  2. Step 2: Convert to fraction form
    229,066.15/316,097.02 = 138,368.53/x
  3. Step 3: Cross multiply
    229,066.15x = 316,097.02 × 138,368.53
  4. Step 4: Simplify right side
    229,066.15x = 43,737,879,479.26
  5. Step 5: Solve for x
    x = 43,737,879,479.26/229,066.15
  6. Step 6: Final answer
    x = 190,939.95

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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.