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Finding the Fourth Proportional to 101,855.58, 152,783.16 and 57,462.18

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Solution

The fourth proportional to 101,855.58, 152,783.16 and 57,462.18 is: 86,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,855.58 : 152,783.16 = 57,462.18 : x
  2. Step 2: Convert to fraction form
    101,855.58/152,783.16 = 57,462.18/x
  3. Step 3: Cross multiply
    101,855.58x = 152,783.16 × 57,462.18
  4. Step 4: Simplify right side
    101,855.58x = 8,779,253,440.89
  5. Step 5: Solve for x
    x = 8,779,253,440.89/101,855.58
  6. Step 6: Final answer
    x = 86,193.15

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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.