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Finding the Fourth Proportional to 238,284.84, 357,349.50 and 105,159.72

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Solution

The fourth proportional to 238,284.84, 357,349.50 and 105,159.72 is: 157,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,284.84 : 357,349.50 = 105,159.72 : x
  2. Step 2: Convert to fraction form
    238,284.84/357,349.50 = 105,159.72/x
  3. Step 3: Cross multiply
    238,284.84x = 357,349.50 × 105,159.72
  4. Step 4: Simplify right side
    238,284.84x = 37,578,773,362.14
  5. Step 5: Solve for x
    x = 37,578,773,362.14/238,284.84
  6. Step 6: Final answer
    x = 157,705.26

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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.