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Finding the Fourth Proportional to 238,237.02, 357,279.75 and 78,276.08

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Solution

The fourth proportional to 238,237.02, 357,279.75 and 78,276.08 is: 117,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,237.02 : 357,279.75 = 78,276.08 : x
  2. Step 2: Convert to fraction form
    238,237.02/357,279.75 = 78,276.08/x
  3. Step 3: Cross multiply
    238,237.02x = 357,279.75 × 78,276.08
  4. Step 4: Simplify right side
    238,237.02x = 27,966,457,902.00
  5. Step 5: Solve for x
    x = 27,966,457,902.00/238,237.02
  6. Step 6: Final answer
    x = 117,389.22

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Why These Related Problems?

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