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Finding the Fourth Proportional to 242,543.89, 334,728.26 and 140,595.67

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Solution

The fourth proportional to 242,543.89, 334,728.26 and 140,595.67 is: 194,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,543.89 : 334,728.26 = 140,595.67 : x
  2. Step 2: Convert to fraction form
    242,543.89/334,728.26 = 140,595.67/x
  3. Step 3: Cross multiply
    242,543.89x = 334,728.26 × 140,595.67
  4. Step 4: Simplify right side
    242,543.89x = 47,061,343,631.15
  5. Step 5: Solve for x
    x = 47,061,343,631.15/242,543.89
  6. Step 6: Final answer
    x = 194,032.28

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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.