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Finding the Fourth Proportional to 185,971.94, 256,642.19 and 101,089

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Solution

The fourth proportional to 185,971.94, 256,642.19 and 101,089 is: 139,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,971.94 : 256,642.19 = 101,089 : x
  2. Step 2: Convert to fraction form
    185,971.94/256,642.19 = 101,089/x
  3. Step 3: Cross multiply
    185,971.94x = 256,642.19 × 101,089
  4. Step 4: Simplify right side
    185,971.94x = 25,943,702,344.91
  5. Step 5: Solve for x
    x = 25,943,702,344.91/185,971.94
  6. Step 6: Final answer
    x = 139,503.32

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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.