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Finding the Fourth Proportional to 106,779.92, 147,352.32 and 61,464.88

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Solution

The fourth proportional to 106,779.92, 147,352.32 and 61,464.88 is: 84,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,779.92 : 147,352.32 = 61,464.88 : x
  2. Step 2: Convert to fraction form
    106,779.92/147,352.32 = 61,464.88/x
  3. Step 3: Cross multiply
    106,779.92x = 147,352.32 × 61,464.88
  4. Step 4: Simplify right side
    106,779.92x = 9,056,992,666.52
  5. Step 5: Solve for x
    x = 9,056,992,666.52/106,779.92
  6. Step 6: Final answer
    x = 84,819.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.