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Finding the Fourth Proportional to 280,206.69, 386,686.50 and 152,884.95

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Solution

The fourth proportional to 280,206.69, 386,686.50 and 152,884.95 is: 210,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,206.69 : 386,686.50 = 152,884.95 : x
  2. Step 2: Convert to fraction form
    280,206.69/386,686.50 = 152,884.95/x
  3. Step 3: Cross multiply
    280,206.69x = 386,686.50 × 152,884.95
  4. Step 4: Simplify right side
    280,206.69x = 59,118,546,218.18
  5. Step 5: Solve for x
    x = 59,118,546,218.18/280,206.69
  6. Step 6: Final answer
    x = 210,981.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.