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Finding the Fourth Proportional to 232,701, 349,051.50 and 74,945.40

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Solution

The fourth proportional to 232,701, 349,051.50 and 74,945.40 is: 112,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,701 : 349,051.50 = 74,945.40 : x
  2. Step 2: Convert to fraction form
    232,701/349,051.50 = 74,945.40/x
  3. Step 3: Cross multiply
    232,701x = 349,051.50 × 74,945.40
  4. Step 4: Simplify right side
    232,701x = 26,159,804,288.10
  5. Step 5: Solve for x
    x = 26,159,804,288.10/232,701
  6. Step 6: Final answer
    x = 112,418.10

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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.