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Finding the Fourth Proportional to 105,092.20, 157,784.10 and 65,726.20

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Solution

The fourth proportional to 105,092.20, 157,784.10 and 65,726.20 is: 98,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,092.20 : 157,784.10 = 65,726.20 : x
  2. Step 2: Convert to fraction form
    105,092.20/157,784.10 = 65,726.20/x
  3. Step 3: Cross multiply
    105,092.20x = 157,784.10 × 65,726.20
  4. Step 4: Simplify right side
    105,092.20x = 10,370,549,313.42
  5. Step 5: Solve for x
    x = 10,370,549,313.42/105,092.20
  6. Step 6: Final answer
    x = 98,680.49

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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.