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Finding the Fourth Proportional to 157,358.84, 217,156.40 and 85,740.80

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Solution

The fourth proportional to 157,358.84, 217,156.40 and 85,740.80 is: 118,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,358.84 : 217,156.40 = 85,740.80 : x
  2. Step 2: Convert to fraction form
    157,358.84/217,156.40 = 85,740.80/x
  3. Step 3: Cross multiply
    157,358.84x = 217,156.40 × 85,740.80
  4. Step 4: Simplify right side
    157,358.84x = 18,619,163,461.12
  5. Step 5: Solve for x
    x = 18,619,163,461.12/157,358.84
  6. Step 6: Final answer
    x = 118,322.96

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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.