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Finding the Fourth Proportional to 176,742.90, 265,114.35 and 137,328.30

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Solution

The fourth proportional to 176,742.90, 265,114.35 and 137,328.30 is: 205,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,742.90 : 265,114.35 = 137,328.30 : x
  2. Step 2: Convert to fraction form
    176,742.90/265,114.35 = 137,328.30/x
  3. Step 3: Cross multiply
    176,742.90x = 265,114.35 × 137,328.30
  4. Step 4: Simplify right side
    176,742.90x = 36,407,702,991.11
  5. Step 5: Solve for x
    x = 36,407,702,991.11/176,742.90
  6. Step 6: Final answer
    x = 205,992.45

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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.