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Finding the Fourth Proportional to 542,111.30, 813,206.90 and 142,749.32

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Solution

The fourth proportional to 542,111.30, 813,206.90 and 142,749.32 is: 214,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,111.30 : 813,206.90 = 142,749.32 : x
  2. Step 2: Convert to fraction form
    542,111.30/813,206.90 = 142,749.32/x
  3. Step 3: Cross multiply
    542,111.30x = 813,206.90 × 142,749.32
  4. Step 4: Simplify right side
    542,111.30x = 116,084,731,994.31
  5. Step 5: Solve for x
    x = 116,084,731,994.31/542,111.30
  6. Step 6: Final answer
    x = 214,134.50

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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.