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Finding the Fourth Proportional to 265,837.64, 398,639.82 and 99,509

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Solution

The fourth proportional to 265,837.64, 398,639.82 and 99,509 is: 149,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,837.64 : 398,639.82 = 99,509 : x
  2. Step 2: Convert to fraction form
    265,837.64/398,639.82 = 99,509/x
  3. Step 3: Cross multiply
    265,837.64x = 398,639.82 × 99,509
  4. Step 4: Simplify right side
    265,837.64x = 39,668,249,848.38
  5. Step 5: Solve for x
    x = 39,668,249,848.38/265,837.64
  6. Step 6: Final answer
    x = 149,219.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.