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Finding the Fourth Proportional to 238,219.80, 357,070.50 and 97,940.76

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Solution

The fourth proportional to 238,219.80, 357,070.50 and 97,940.76 is: 146,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,219.80 : 357,070.50 = 97,940.76 : x
  2. Step 2: Convert to fraction form
    238,219.80/357,070.50 = 97,940.76/x
  3. Step 3: Cross multiply
    238,219.80x = 357,070.50 × 97,940.76
  4. Step 4: Simplify right side
    238,219.80x = 34,971,756,143.58
  5. Step 5: Solve for x
    x = 34,971,756,143.58/238,219.80
  6. Step 6: Final answer
    x = 146,804.57

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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.