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Finding the Fourth Proportional to 235,482.30, 353,223.45 and 77,672.70

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Solution

The fourth proportional to 235,482.30, 353,223.45 and 77,672.70 is: 116,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,482.30 : 353,223.45 = 77,672.70 : x
  2. Step 2: Convert to fraction form
    235,482.30/353,223.45 = 77,672.70/x
  3. Step 3: Cross multiply
    235,482.30x = 353,223.45 × 77,672.70
  4. Step 4: Simplify right side
    235,482.30x = 27,435,819,064.82
  5. Step 5: Solve for x
    x = 27,435,819,064.82/235,482.30
  6. Step 6: Final answer
    x = 116,509.05

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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.