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Finding the Fourth Proportional to 268,266.30, 402,453.45 and 78,726.30

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Solution

The fourth proportional to 268,266.30, 402,453.45 and 78,726.30 is: 118,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,266.30 : 402,453.45 = 78,726.30 : x
  2. Step 2: Convert to fraction form
    268,266.30/402,453.45 = 78,726.30/x
  3. Step 3: Cross multiply
    268,266.30x = 402,453.45 × 78,726.30
  4. Step 4: Simplify right side
    268,266.30x = 31,683,671,040.74
  5. Step 5: Solve for x
    x = 31,683,671,040.74/268,266.30
  6. Step 6: Final answer
    x = 118,105.30

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1.5x scale

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.