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Finding the Fourth Proportional to 220,513.70, 330,430.35 and 164,089.10

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Solution

The fourth proportional to 220,513.70, 330,430.35 and 164,089.10 is: 245,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,513.70 : 330,430.35 = 164,089.10 : x
  2. Step 2: Convert to fraction form
    220,513.70/330,430.35 = 164,089.10/x
  3. Step 3: Cross multiply
    220,513.70x = 330,430.35 × 164,089.10
  4. Step 4: Simplify right side
    220,513.70x = 54,220,018,744.19
  5. Step 5: Solve for x
    x = 54,220,018,744.19/220,513.70
  6. Step 6: Final answer
    x = 245,880.50

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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.