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Finding the Fourth Proportional to 254,188.16, 350,779.80 and 141,011

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Solution

The fourth proportional to 254,188.16, 350,779.80 and 141,011 is: 194,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,188.16 : 350,779.80 = 141,011 : x
  2. Step 2: Convert to fraction form
    254,188.16/350,779.80 = 141,011/x
  3. Step 3: Cross multiply
    254,188.16x = 350,779.80 × 141,011
  4. Step 4: Simplify right side
    254,188.16x = 49,463,810,377.80
  5. Step 5: Solve for x
    x = 49,463,810,377.80/254,188.16
  6. Step 6: Final answer
    x = 194,595.26

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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.