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Finding the Fourth Proportional to 265,211.40, 365,999.46 and 144,360.48

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Solution

The fourth proportional to 265,211.40, 365,999.46 and 144,360.48 is: 199,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,211.40 : 365,999.46 = 144,360.48 : x
  2. Step 2: Convert to fraction form
    265,211.40/365,999.46 = 144,360.48/x
  3. Step 3: Cross multiply
    265,211.40x = 365,999.46 × 144,360.48
  4. Step 4: Simplify right side
    265,211.40x = 52,835,857,725.34
  5. Step 5: Solve for x
    x = 52,835,857,725.34/265,211.40
  6. Step 6: Final answer
    x = 199,221.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.