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Finding the Fourth Proportional to 238,312.76, 357,518.22 and 69,838.60

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Solution

The fourth proportional to 238,312.76, 357,518.22 and 69,838.60 is: 104,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,312.76 : 357,518.22 = 69,838.60 : x
  2. Step 2: Convert to fraction form
    238,312.76/357,518.22 = 69,838.60/x
  3. Step 3: Cross multiply
    238,312.76x = 357,518.22 × 69,838.60
  4. Step 4: Simplify right side
    238,312.76x = 24,968,571,959.29
  5. Step 5: Solve for x
    x = 24,968,571,959.29/238,312.76
  6. Step 6: Final answer
    x = 104,772.28

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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.