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Finding the Fourth Proportional to 114,430.17, 171,520.59 and 97,739.58

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Solution

The fourth proportional to 114,430.17, 171,520.59 and 97,739.58 is: 146,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,430.17 : 171,520.59 = 97,739.58 : x
  2. Step 2: Convert to fraction form
    114,430.17/171,520.59 = 97,739.58/x
  3. Step 3: Cross multiply
    114,430.17x = 171,520.59 × 97,739.58
  4. Step 4: Simplify right side
    114,430.17x = 16,764,350,427.95
  5. Step 5: Solve for x
    x = 16,764,350,427.95/114,430.17
  6. Step 6: Final answer
    x = 146,502.89

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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.