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Finding the Fourth Proportional to 265,888, 366,925.44 and 146,656

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Solution

The fourth proportional to 265,888, 366,925.44 and 146,656 is: 202,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,888 : 366,925.44 = 146,656 : x
  2. Step 2: Convert to fraction form
    265,888/366,925.44 = 146,656/x
  3. Step 3: Cross multiply
    265,888x = 366,925.44 × 146,656
  4. Step 4: Simplify right side
    265,888x = 53,811,817,328.64
  5. Step 5: Solve for x
    x = 53,811,817,328.64/265,888
  6. Step 6: Final answer
    x = 202,385.28

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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.