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Finding the Fourth Proportional to 185,866.97, 256,518.29 and 110,415.47

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Solution

The fourth proportional to 185,866.97, 256,518.29 and 110,415.47 is: 152,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,866.97 : 256,518.29 = 110,415.47 : x
  2. Step 2: Convert to fraction form
    185,866.97/256,518.29 = 110,415.47/x
  3. Step 3: Cross multiply
    185,866.97x = 256,518.29 × 110,415.47
  4. Step 4: Simplify right side
    185,866.97x = 28,323,587,643.16
  5. Step 5: Solve for x
    x = 28,323,587,643.16/185,866.97
  6. Step 6: Final answer
    x = 152,386.34

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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.