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Finding the Fourth Proportional to 160,411, 240,616.50 and 49,603

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Solution

The fourth proportional to 160,411, 240,616.50 and 49,603 is: 74,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,411 : 240,616.50 = 49,603 : x
  2. Step 2: Convert to fraction form
    160,411/240,616.50 = 49,603/x
  3. Step 3: Cross multiply
    160,411x = 240,616.50 × 49,603
  4. Step 4: Simplify right side
    160,411x = 11,935,300,249.50
  5. Step 5: Solve for x
    x = 11,935,300,249.50/160,411
  6. Step 6: Final answer
    x = 74,404.50

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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.