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Finding the Fourth Proportional to 178,058.80, 266,742.60 and 99,031.60

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Solution

The fourth proportional to 178,058.80, 266,742.60 and 99,031.60 is: 148,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,058.80 : 266,742.60 = 99,031.60 : x
  2. Step 2: Convert to fraction form
    178,058.80/266,742.60 = 99,031.60/x
  3. Step 3: Cross multiply
    178,058.80x = 266,742.60 × 99,031.60
  4. Step 4: Simplify right side
    178,058.80x = 26,415,946,466.16
  5. Step 5: Solve for x
    x = 26,415,946,466.16/178,058.80
  6. Step 6: Final answer
    x = 148,355.19

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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.