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Finding the Fourth Proportional to 239,454.50, 359,307.50 and 106,430.22

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Solution

The fourth proportional to 239,454.50, 359,307.50 and 106,430.22 is: 159,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,454.50 : 359,307.50 = 106,430.22 : x
  2. Step 2: Convert to fraction form
    239,454.50/359,307.50 = 106,430.22/x
  3. Step 3: Cross multiply
    239,454.50x = 359,307.50 × 106,430.22
  4. Step 4: Simplify right side
    239,454.50x = 38,241,175,740.50
  5. Step 5: Solve for x
    x = 38,241,175,740.50/239,454.50
  6. Step 6: Final answer
    x = 159,701.22

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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.