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Finding the Fourth Proportional to 157,178.10, 235,784.02 and 67,230.16

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Solution

The fourth proportional to 157,178.10, 235,784.02 and 67,230.16 is: 100,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,178.10 : 235,784.02 = 67,230.16 : x
  2. Step 2: Convert to fraction form
    157,178.10/235,784.02 = 67,230.16/x
  3. Step 3: Cross multiply
    157,178.10x = 235,784.02 × 67,230.16
  4. Step 4: Simplify right side
    157,178.10x = 15,851,797,390.04
  5. Step 5: Solve for x
    x = 15,851,797,390.04/157,178.10
  6. Step 6: Final answer
    x = 100,852.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.