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Finding the Fourth Proportional to 157,698.82, 217,628.49 and 86,085.46

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Solution

The fourth proportional to 157,698.82, 217,628.49 and 86,085.46 is: 118,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,698.82 : 217,628.49 = 86,085.46 : x
  2. Step 2: Convert to fraction form
    157,698.82/217,628.49 = 86,085.46/x
  3. Step 3: Cross multiply
    157,698.82x = 217,628.49 × 86,085.46
  4. Step 4: Simplify right side
    157,698.82x = 18,734,648,670.76
  5. Step 5: Solve for x
    x = 18,734,648,670.76/157,698.82
  6. Step 6: Final answer
    x = 118,800.18

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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.