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Finding the Fourth Proportional to 268,875.80, 403,313.70 and 111,411.80

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Solution

The fourth proportional to 268,875.80, 403,313.70 and 111,411.80 is: 167,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,875.80 : 403,313.70 = 111,411.80 : x
  2. Step 2: Convert to fraction form
    268,875.80/403,313.70 = 111,411.80/x
  3. Step 3: Cross multiply
    268,875.80x = 403,313.70 × 111,411.80
  4. Step 4: Simplify right side
    268,875.80x = 44,933,905,281.66
  5. Step 5: Solve for x
    x = 44,933,905,281.66/268,875.80
  6. Step 6: Final answer
    x = 167,117.70

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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.