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Finding the Fourth Proportional to 230,999.10, 346,779.45 and 146,759.10

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Solution

The fourth proportional to 230,999.10, 346,779.45 and 146,759.10 is: 220,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,999.10 : 346,779.45 = 146,759.10 : x
  2. Step 2: Convert to fraction form
    230,999.10/346,779.45 = 146,759.10/x
  3. Step 3: Cross multiply
    230,999.10x = 346,779.45 × 146,759.10
  4. Step 4: Simplify right side
    230,999.10x = 50,893,039,980.50
  5. Step 5: Solve for x
    x = 50,893,039,980.50/230,999.10
  6. Step 6: Final answer
    x = 220,317.05

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1.5x scale

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.