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Finding the Fourth Proportional to 280,414.08, 386,955 and 153,064.08

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Solution

The fourth proportional to 280,414.08, 386,955 and 153,064.08 is: 211,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,414.08 : 386,955 = 153,064.08 : x
  2. Step 2: Convert to fraction form
    280,414.08/386,955 = 153,064.08/x
  3. Step 3: Cross multiply
    280,414.08x = 386,955 × 153,064.08
  4. Step 4: Simplify right side
    280,414.08x = 59,228,911,076.40
  5. Step 5: Solve for x
    x = 59,228,911,076.40/280,414.08
  6. Step 6: Final answer
    x = 211,219.46

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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.