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Finding the Fourth Proportional to 215,730.84, 323,705.64 and 145,462.50

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Solution

The fourth proportional to 215,730.84, 323,705.64 and 145,462.50 is: 218,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,730.84 : 323,705.64 = 145,462.50 : x
  2. Step 2: Convert to fraction form
    215,730.84/323,705.64 = 145,462.50/x
  3. Step 3: Cross multiply
    215,730.84x = 323,705.64 × 145,462.50
  4. Step 4: Simplify right side
    215,730.84x = 47,087,031,658.50
  5. Step 5: Solve for x
    x = 47,087,031,658.50/215,730.84
  6. Step 6: Final answer
    x = 218,267.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.