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Finding the Fourth Proportional to 265,501.60, 366,442.32 and 152,398.24

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Solution

The fourth proportional to 265,501.60, 366,442.32 and 152,398.24 is: 210,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,501.60 : 366,442.32 = 152,398.24 : x
  2. Step 2: Convert to fraction form
    265,501.60/366,442.32 = 152,398.24/x
  3. Step 3: Cross multiply
    265,501.60x = 366,442.32 × 152,398.24
  4. Step 4: Simplify right side
    265,501.60x = 55,845,164,629.52
  5. Step 5: Solve for x
    x = 55,845,164,629.52/265,501.60
  6. Step 6: Final answer
    x = 210,338.34

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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.