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Finding the Fourth Proportional to 268,567.82, 402,878.03 and 97,835.93

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Solution

The fourth proportional to 268,567.82, 402,878.03 and 97,835.93 is: 146,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,567.82 : 402,878.03 = 97,835.93 : x
  2. Step 2: Convert to fraction form
    268,567.82/402,878.03 = 97,835.93/x
  3. Step 3: Cross multiply
    268,567.82x = 402,878.03 × 97,835.93
  4. Step 4: Simplify right side
    268,567.82x = 39,415,944,238.05
  5. Step 5: Solve for x
    x = 39,415,944,238.05/268,567.82
  6. Step 6: Final answer
    x = 146,763.47

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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.