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Finding the Fourth Proportional to 242,058.97, 334,017.99 and 140,064.13

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Solution

The fourth proportional to 242,058.97, 334,017.99 and 140,064.13 is: 193,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,058.97 : 334,017.99 = 140,064.13 : x
  2. Step 2: Convert to fraction form
    242,058.97/334,017.99 = 140,064.13/x
  3. Step 3: Cross multiply
    242,058.97x = 334,017.99 × 140,064.13
  4. Step 4: Simplify right side
    242,058.97x = 46,783,939,173.70
  5. Step 5: Solve for x
    x = 46,783,939,173.70/242,058.97
  6. Step 6: Final answer
    x = 193,274.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.