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Finding the Fourth Proportional to 231,539.90, 319,574.70 and 150,823.40

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Solution

The fourth proportional to 231,539.90, 319,574.70 and 150,823.40 is: 208,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,539.90 : 319,574.70 = 150,823.40 : x
  2. Step 2: Convert to fraction form
    231,539.90/319,574.70 = 150,823.40/x
  3. Step 3: Cross multiply
    231,539.90x = 319,574.70 × 150,823.40
  4. Step 4: Simplify right side
    231,539.90x = 48,199,341,210.11
  5. Step 5: Solve for x
    x = 48,199,341,210.11/231,539.90
  6. Step 6: Final answer
    x = 208,168.62

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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.