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Finding the Fourth Proportional to 238,281, 357,345.78 and 78,320.04

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Solution

The fourth proportional to 238,281, 357,345.78 and 78,320.04 is: 117,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,281 : 357,345.78 = 78,320.04 : x
  2. Step 2: Convert to fraction form
    238,281/357,345.78 = 78,320.04/x
  3. Step 3: Cross multiply
    238,281x = 357,345.78 × 78,320.04
  4. Step 4: Simplify right side
    238,281x = 27,987,335,783.43
  5. Step 5: Solve for x
    x = 27,987,335,783.43/238,281
  6. Step 6: Final answer
    x = 117,455.17

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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.