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Finding the Fourth Proportional to 136,430.70, 205,083.45 and 97,259.10

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Solution

The fourth proportional to 136,430.70, 205,083.45 and 97,259.10 is: 146,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,430.70 : 205,083.45 = 97,259.10 : x
  2. Step 2: Convert to fraction form
    136,430.70/205,083.45 = 97,259.10/x
  3. Step 3: Cross multiply
    136,430.70x = 205,083.45 × 97,259.10
  4. Step 4: Simplify right side
    136,430.70x = 19,946,231,771.90
  5. Step 5: Solve for x
    x = 19,946,231,771.90/136,430.70
  6. Step 6: Final answer
    x = 146,200.46

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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.