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Finding the Fourth Proportional to 127,262.70, 190,894.05 and 97,829.10

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Solution

The fourth proportional to 127,262.70, 190,894.05 and 97,829.10 is: 146,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,262.70 : 190,894.05 = 97,829.10 : x
  2. Step 2: Convert to fraction form
    127,262.70/190,894.05 = 97,829.10/x
  3. Step 3: Cross multiply
    127,262.70x = 190,894.05 × 97,829.10
  4. Step 4: Simplify right side
    127,262.70x = 18,674,993,106.86
  5. Step 5: Solve for x
    x = 18,674,993,106.86/127,262.70
  6. Step 6: Final answer
    x = 146,743.65

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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.