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Finding the Fourth Proportional to 265,887.64, 366,916.26 and 151,159.24

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Solution

The fourth proportional to 265,887.64, 366,916.26 and 151,159.24 is: 208,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,887.64 : 366,916.26 = 151,159.24 : x
  2. Step 2: Convert to fraction form
    265,887.64/366,916.26 = 151,159.24/x
  3. Step 3: Cross multiply
    265,887.64x = 366,916.26 × 151,159.24
  4. Step 4: Simplify right side
    265,887.64x = 55,462,783,005.24
  5. Step 5: Solve for x
    x = 55,462,783,005.24/265,887.64
  6. Step 6: Final answer
    x = 208,594.81

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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.