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Finding the Fourth Proportional to 157,830.75, 217,805.15 and 86,210.79

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Solution

The fourth proportional to 157,830.75, 217,805.15 and 86,210.79 is: 118,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,830.75 : 217,805.15 = 86,210.79 : x
  2. Step 2: Convert to fraction form
    157,830.75/217,805.15 = 86,210.79/x
  3. Step 3: Cross multiply
    157,830.75x = 217,805.15 × 86,210.79
  4. Step 4: Simplify right side
    157,830.75x = 18,777,153,616.51
  5. Step 5: Solve for x
    x = 18,777,153,616.51/157,830.75
  6. Step 6: Final answer
    x = 118,970.19

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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.