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Finding the Fourth Proportional to 157,633.42, 217,529.85 and 86,013.46

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Solution

The fourth proportional to 157,633.42, 217,529.85 and 86,013.46 is: 118,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,633.42 : 217,529.85 = 86,013.46 : x
  2. Step 2: Convert to fraction form
    157,633.42/217,529.85 = 86,013.46/x
  3. Step 3: Cross multiply
    157,633.42x = 217,529.85 × 86,013.46
  4. Step 4: Simplify right side
    157,633.42x = 18,710,495,051.78
  5. Step 5: Solve for x
    x = 18,710,495,051.78/157,633.42
  6. Step 6: Final answer
    x = 118,696.25

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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.