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Finding the Fourth Proportional to 213,856.25, 295,101.62 and 127,798.14

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Solution

The fourth proportional to 213,856.25, 295,101.62 and 127,798.14 is: 176,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,856.25 : 295,101.62 = 127,798.14 : x
  2. Step 2: Convert to fraction form
    213,856.25/295,101.62 = 127,798.14/x
  3. Step 3: Cross multiply
    213,856.25x = 295,101.62 × 127,798.14
  4. Step 4: Simplify right side
    213,856.25x = 37,713,437,508.00
  5. Step 5: Solve for x
    x = 37,713,437,508.00/213,856.25
  6. Step 6: Final answer
    x = 176,349.48

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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.