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Finding the Fourth Proportional to 295,833.60, 443,774.88 and 96,075

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Solution

The fourth proportional to 295,833.60, 443,774.88 and 96,075 is: 144,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,833.60 : 443,774.88 = 96,075 : x
  2. Step 2: Convert to fraction form
    295,833.60/443,774.88 = 96,075/x
  3. Step 3: Cross multiply
    295,833.60x = 443,774.88 × 96,075
  4. Step 4: Simplify right side
    295,833.60x = 42,635,671,596
  5. Step 5: Solve for x
    x = 42,635,671,596/295,833.60
  6. Step 6: Final answer
    x = 144,120.45

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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.