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Finding the Fourth Proportional to 141,442.32, 212,044.32 and 61,420.08

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Solution

The fourth proportional to 141,442.32, 212,044.32 and 61,420.08 is: 92,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,442.32 : 212,044.32 = 61,420.08 : x
  2. Step 2: Convert to fraction form
    141,442.32/212,044.32 = 61,420.08/x
  3. Step 3: Cross multiply
    141,442.32x = 212,044.32 × 61,420.08
  4. Step 4: Simplify right side
    141,442.32x = 13,023,779,097.95
  5. Step 5: Solve for x
    x = 13,023,779,097.95/141,442.32
  6. Step 6: Final answer
    x = 92,078.38

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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.