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Finding the Fourth Proportional to 189,264.65, 283,813.88 and 70,852.95

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Solution

The fourth proportional to 189,264.65, 283,813.88 and 70,852.95 is: 106,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,264.65 : 283,813.88 = 70,852.95 : x
  2. Step 2: Convert to fraction form
    189,264.65/283,813.88 = 70,852.95/x
  3. Step 3: Cross multiply
    189,264.65x = 283,813.88 × 70,852.95
  4. Step 4: Simplify right side
    189,264.65x = 20,109,050,294.68
  5. Step 5: Solve for x
    x = 20,109,050,294.68/189,264.65
  6. Step 6: Final answer
    x = 106,248.32

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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.