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Finding the Fourth Proportional to 185,874.75, 256,506.26 and 105,302.08

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Solution

The fourth proportional to 185,874.75, 256,506.26 and 105,302.08 is: 145,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,874.75 : 256,506.26 = 105,302.08 : x
  2. Step 2: Convert to fraction form
    185,874.75/256,506.26 = 105,302.08/x
  3. Step 3: Cross multiply
    185,874.75x = 256,506.26 × 105,302.08
  4. Step 4: Simplify right side
    185,874.75x = 27,010,642,505.14
  5. Step 5: Solve for x
    x = 27,010,642,505.14/185,874.75
  6. Step 6: Final answer
    x = 145,316.36

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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.