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Finding the Fourth Proportional to 206,969.16, 310,445.04 and 59,225.16

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Solution

The fourth proportional to 206,969.16, 310,445.04 and 59,225.16 is: 88,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,969.16 : 310,445.04 = 59,225.16 : x
  2. Step 2: Convert to fraction form
    206,969.16/310,445.04 = 59,225.16/x
  3. Step 3: Cross multiply
    206,969.16x = 310,445.04 × 59,225.16
  4. Step 4: Simplify right side
    206,969.16x = 18,386,157,165.21
  5. Step 5: Solve for x
    x = 18,386,157,165.21/206,969.16
  6. Step 6: Final answer
    x = 88,835.25

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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.