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Finding the Fourth Proportional to 334,113, 501,186.52 and 97,473.54

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Solution

The fourth proportional to 334,113, 501,186.52 and 97,473.54 is: 146,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,113 : 501,186.52 = 97,473.54 : x
  2. Step 2: Convert to fraction form
    334,113/501,186.52 = 97,473.54/x
  3. Step 3: Cross multiply
    334,113x = 501,186.52 × 97,473.54
  4. Step 4: Simplify right side
    334,113x = 48,852,424,304.68
  5. Step 5: Solve for x
    x = 48,852,424,304.68/334,113
  6. Step 6: Final answer
    x = 146,215.28

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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.