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Finding the Fourth Proportional to 97,881.60, 146,822.40 and 56,409.60

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Solution

The fourth proportional to 97,881.60, 146,822.40 and 56,409.60 is: 84,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881.60 : 146,822.40 = 56,409.60 : x
  2. Step 2: Convert to fraction form
    97,881.60/146,822.40 = 56,409.60/x
  3. Step 3: Cross multiply
    97,881.60x = 146,822.40 × 56,409.60
  4. Step 4: Simplify right side
    97,881.60x = 8,282,192,855.04
  5. Step 5: Solve for x
    x = 8,282,192,855.04/97,881.60
  6. Step 6: Final answer
    x = 84,614.40

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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.