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Finding the Fourth Proportional to 141,565, 212,432.30 and 52,880.83

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Solution

The fourth proportional to 141,565, 212,432.30 and 52,880.83 is: 79,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,565 : 212,432.30 = 52,880.83 : x
  2. Step 2: Convert to fraction form
    141,565/212,432.30 = 52,880.83/x
  3. Step 3: Cross multiply
    141,565x = 212,432.30 × 52,880.83
  4. Step 4: Simplify right side
    141,565x = 11,233,596,078.40
  5. Step 5: Solve for x
    x = 11,233,596,078.40/141,565
  6. Step 6: Final answer
    x = 79,352.92

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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.