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Finding the Fourth Proportional to 176,742.60, 265,113.90 and 83,430.60

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Solution

The fourth proportional to 176,742.60, 265,113.90 and 83,430.60 is: 125,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,742.60 : 265,113.90 = 83,430.60 : x
  2. Step 2: Convert to fraction form
    176,742.60/265,113.90 = 83,430.60/x
  3. Step 3: Cross multiply
    176,742.60x = 265,113.90 × 83,430.60
  4. Step 4: Simplify right side
    176,742.60x = 22,118,611,745.34
  5. Step 5: Solve for x
    x = 22,118,611,745.34/176,742.60
  6. Step 6: Final answer
    x = 125,145.90

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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.