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Finding the Fourth Proportional to 231,530.50, 319,277.34 and 140,798.08

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Solution

The fourth proportional to 231,530.50, 319,277.34 and 140,798.08 is: 194,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,530.50 : 319,277.34 = 140,798.08 : x
  2. Step 2: Convert to fraction form
    231,530.50/319,277.34 = 140,798.08/x
  3. Step 3: Cross multiply
    231,530.50x = 319,277.34 × 140,798.08
  4. Step 4: Simplify right side
    231,530.50x = 44,953,636,459.51
  5. Step 5: Solve for x
    x = 44,953,636,459.51/231,530.50
  6. Step 6: Final answer
    x = 194,158.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.