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Finding the Fourth Proportional to 137,486.40, 206,536.80 and 96,014.40

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Solution

The fourth proportional to 137,486.40, 206,536.80 and 96,014.40 is: 144,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,486.40 : 206,536.80 = 96,014.40 : x
  2. Step 2: Convert to fraction form
    137,486.40/206,536.80 = 96,014.40/x
  3. Step 3: Cross multiply
    137,486.40x = 206,536.80 × 96,014.40
  4. Step 4: Simplify right side
    137,486.40x = 19,830,506,929.92
  5. Step 5: Solve for x
    x = 19,830,506,929.92/137,486.40
  6. Step 6: Final answer
    x = 144,236.13

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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.