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Finding the Fourth Proportional to 212,326.36, 318,558.66 and 101,527

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Solution

The fourth proportional to 212,326.36, 318,558.66 and 101,527 is: 152,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,326.36 : 318,558.66 = 101,527 : x
  2. Step 2: Convert to fraction form
    212,326.36/318,558.66 = 101,527/x
  3. Step 3: Cross multiply
    212,326.36x = 318,558.66 × 101,527
  4. Step 4: Simplify right side
    212,326.36x = 32,342,305,073.82
  5. Step 5: Solve for x
    x = 32,342,305,073.82/212,326.36
  6. Step 6: Final answer
    x = 152,323.55

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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.