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Finding the Fourth Proportional to 157,903.14, 217,903.72 and 86,281.64

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Solution

The fourth proportional to 157,903.14, 217,903.72 and 86,281.64 is: 119,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,903.14 : 217,903.72 = 86,281.64 : x
  2. Step 2: Convert to fraction form
    157,903.14/217,903.72 = 86,281.64/x
  3. Step 3: Cross multiply
    157,903.14x = 217,903.72 × 86,281.64
  4. Step 4: Simplify right side
    157,903.14x = 18,801,088,802.77
  5. Step 5: Solve for x
    x = 18,801,088,802.77/157,903.14
  6. Step 6: Final answer
    x = 119,067.23

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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.