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Finding the Fourth Proportional to 140,565.63, 210,848.64 and 57,459.63

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Solution

The fourth proportional to 140,565.63, 210,848.64 and 57,459.63 is: 86,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,565.63 : 210,848.64 = 57,459.63 : x
  2. Step 2: Convert to fraction form
    140,565.63/210,848.64 = 57,459.63/x
  3. Step 3: Cross multiply
    140,565.63x = 210,848.64 × 57,459.63
  4. Step 4: Simplify right side
    140,565.63x = 12,115,284,840.40
  5. Step 5: Solve for x
    x = 12,115,284,840.40/140,565.63
  6. Step 6: Final answer
    x = 86,189.52

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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.