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Finding the Fourth Proportional to 188,643.58, 282,934.61 and 55,492.70

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Solution

The fourth proportional to 188,643.58, 282,934.61 and 55,492.70 is: 83,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,643.58 : 282,934.61 = 55,492.70 : x
  2. Step 2: Convert to fraction form
    188,643.58/282,934.61 = 55,492.70/x
  3. Step 3: Cross multiply
    188,643.58x = 282,934.61 × 55,492.70
  4. Step 4: Simplify right side
    188,643.58x = 15,700,804,156.41
  5. Step 5: Solve for x
    x = 15,700,804,156.41/188,643.58
  6. Step 6: Final answer
    x = 83,230.00

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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.