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Finding the Fourth Proportional to 157,873.81, 217,869 and 86,258.28

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Solution

The fourth proportional to 157,873.81, 217,869 and 86,258.28 is: 119,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,873.81 : 217,869 = 86,258.28 : x
  2. Step 2: Convert to fraction form
    157,873.81/217,869 = 86,258.28/x
  3. Step 3: Cross multiply
    157,873.81x = 217,869 × 86,258.28
  4. Step 4: Simplify right side
    157,873.81x = 18,793,005,205.32
  5. Step 5: Solve for x
    x = 18,793,005,205.32/157,873.81
  6. Step 6: Final answer
    x = 119,038.14

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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.