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Finding the Fourth Proportional to 292,113, 438,169.50 and 70,497

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Solution

The fourth proportional to 292,113, 438,169.50 and 70,497 is: 105,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,113 : 438,169.50 = 70,497 : x
  2. Step 2: Convert to fraction form
    292,113/438,169.50 = 70,497/x
  3. Step 3: Cross multiply
    292,113x = 438,169.50 × 70,497
  4. Step 4: Simplify right side
    292,113x = 30,889,635,241.50
  5. Step 5: Solve for x
    x = 30,889,635,241.50/292,113
  6. Step 6: Final answer
    x = 105,745.50

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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.