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Finding the Fourth Proportional to 157,113.80, 235,670.70 and 122,078.60

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Solution

The fourth proportional to 157,113.80, 235,670.70 and 122,078.60 is: 183,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,113.80 : 235,670.70 = 122,078.60 : x
  2. Step 2: Convert to fraction form
    157,113.80/235,670.70 = 122,078.60/x
  3. Step 3: Cross multiply
    157,113.80x = 235,670.70 × 122,078.60
  4. Step 4: Simplify right side
    157,113.80x = 28,770,349,117.02
  5. Step 5: Solve for x
    x = 28,770,349,117.02/157,113.80
  6. Step 6: Final answer
    x = 183,117.90

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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.