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Finding the Fourth Proportional to 265,093.48, 365,708.46 and 157,602.52

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Solution

The fourth proportional to 265,093.48, 365,708.46 and 157,602.52 is: 217,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,093.48 : 365,708.46 = 157,602.52 : x
  2. Step 2: Convert to fraction form
    265,093.48/365,708.46 = 157,602.52/x
  3. Step 3: Cross multiply
    265,093.48x = 365,708.46 × 157,602.52
  4. Step 4: Simplify right side
    265,093.48x = 57,636,574,881.32
  5. Step 5: Solve for x
    x = 57,636,574,881.32/265,093.48
  6. Step 6: Final answer
    x = 217,419.81

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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.