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Finding the Fourth Proportional to 280,368.99, 386,914.50 and 153,049.14

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Solution

The fourth proportional to 280,368.99, 386,914.50 and 153,049.14 is: 211,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,368.99 : 386,914.50 = 153,049.14 : x
  2. Step 2: Convert to fraction form
    280,368.99/386,914.50 = 153,049.14/x
  3. Step 3: Cross multiply
    280,368.99x = 386,914.50 × 153,049.14
  4. Step 4: Simplify right side
    280,368.99x = 59,216,931,478.53
  5. Step 5: Solve for x
    x = 59,216,931,478.53/280,368.99
  6. Step 6: Final answer
    x = 211,210.70

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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.