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Finding the Fourth Proportional to 185,788, 256,435.14 and 113,240.08

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Solution

The fourth proportional to 185,788, 256,435.14 and 113,240.08 is: 156,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,788 : 256,435.14 = 113,240.08 : x
  2. Step 2: Convert to fraction form
    185,788/256,435.14 = 113,240.08/x
  3. Step 3: Cross multiply
    185,788x = 256,435.14 × 113,240.08
  4. Step 4: Simplify right side
    185,788x = 29,038,735,768.41
  5. Step 5: Solve for x
    x = 29,038,735,768.41/185,788
  6. Step 6: Final answer
    x = 156,300.38

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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.