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Finding the Fourth Proportional to 219,042.90, 328,564.35 and 149,058.90

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Solution

The fourth proportional to 219,042.90, 328,564.35 and 149,058.90 is: 223,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,042.90 : 328,564.35 = 149,058.90 : x
  2. Step 2: Convert to fraction form
    219,042.90/328,564.35 = 149,058.90/x
  3. Step 3: Cross multiply
    219,042.90x = 328,564.35 × 149,058.90
  4. Step 4: Simplify right side
    219,042.90x = 48,975,440,590.22
  5. Step 5: Solve for x
    x = 48,975,440,590.22/219,042.90
  6. Step 6: Final answer
    x = 223,588.35

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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.