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Finding the Fourth Proportional to 194,627.80, 291,941.70 and 101,315.80

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Solution

The fourth proportional to 194,627.80, 291,941.70 and 101,315.80 is: 151,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,627.80 : 291,941.70 = 101,315.80 : x
  2. Step 2: Convert to fraction form
    194,627.80/291,941.70 = 101,315.80/x
  3. Step 3: Cross multiply
    194,627.80x = 291,941.70 × 101,315.80
  4. Step 4: Simplify right side
    194,627.80x = 29,578,306,888.86
  5. Step 5: Solve for x
    x = 29,578,306,888.86/194,627.80
  6. Step 6: Final answer
    x = 151,973.70

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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.