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Finding the Fourth Proportional to 157,711.51, 217,633.57 and 86,077.63

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Solution

The fourth proportional to 157,711.51, 217,633.57 and 86,077.63 is: 118,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,711.51 : 217,633.57 = 86,077.63 : x
  2. Step 2: Convert to fraction form
    157,711.51/217,633.57 = 86,077.63/x
  3. Step 3: Cross multiply
    157,711.51x = 217,633.57 × 86,077.63
  4. Step 4: Simplify right side
    157,711.51x = 18,733,381,914.04
  5. Step 5: Solve for x
    x = 18,733,381,914.04/157,711.51
  6. Step 6: Final answer
    x = 118,782.59

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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.