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Finding the Fourth Proportional to 99,159.90, 148,798.95 and 35,984.96

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Solution

The fourth proportional to 99,159.90, 148,798.95 and 35,984.96 is: 53,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,159.90 : 148,798.95 = 35,984.96 : x
  2. Step 2: Convert to fraction form
    99,159.90/148,798.95 = 35,984.96/x
  3. Step 3: Cross multiply
    99,159.90x = 148,798.95 × 35,984.96
  4. Step 4: Simplify right side
    99,159.90x = 5,354,524,263.79
  5. Step 5: Solve for x
    x = 5,354,524,263.79/99,159.90
  6. Step 6: Final answer
    x = 53,998.89

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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.