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Finding the Fourth Proportional to 185,653.52, 256,335 and 114,129.44

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Solution

The fourth proportional to 185,653.52, 256,335 and 114,129.44 is: 157,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,653.52 : 256,335 = 114,129.44 : x
  2. Step 2: Convert to fraction form
    185,653.52/256,335 = 114,129.44/x
  3. Step 3: Cross multiply
    185,653.52x = 256,335 × 114,129.44
  4. Step 4: Simplify right side
    185,653.52x = 29,255,370,002.40
  5. Step 5: Solve for x
    x = 29,255,370,002.40/185,653.52
  6. Step 6: Final answer
    x = 157,580.48

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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.