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Finding the Fourth Proportional to 229,233.78, 344,210.58 and 194,155.11

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Solution

The fourth proportional to 229,233.78, 344,210.58 and 194,155.11 is: 291,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,233.78 : 344,210.58 = 194,155.11 : x
  2. Step 2: Convert to fraction form
    229,233.78/344,210.58 = 194,155.11/x
  3. Step 3: Cross multiply
    229,233.78x = 344,210.58 × 194,155.11
  4. Step 4: Simplify right side
    229,233.78x = 66,830,243,023.06
  5. Step 5: Solve for x
    x = 66,830,243,023.06/229,233.78
  6. Step 6: Final answer
    x = 291,537.50

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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.