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Finding the Fourth Proportional to 148,830.32, 223,249.80 and 65,730.80

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Solution

The fourth proportional to 148,830.32, 223,249.80 and 65,730.80 is: 98,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,830.32 : 223,249.80 = 65,730.80 : x
  2. Step 2: Convert to fraction form
    148,830.32/223,249.80 = 65,730.80/x
  3. Step 3: Cross multiply
    148,830.32x = 223,249.80 × 65,730.80
  4. Step 4: Simplify right side
    148,830.32x = 14,674,387,953.84
  5. Step 5: Solve for x
    x = 14,674,387,953.84/148,830.32
  6. Step 6: Final answer
    x = 98,598.11

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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.