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Finding the Fourth Proportional to 292,284, 403,351.92 and 158,148

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Solution

The fourth proportional to 292,284, 403,351.92 and 158,148 is: 218,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284 : 403,351.92 = 158,148 : x
  2. Step 2: Convert to fraction form
    292,284/403,351.92 = 158,148/x
  3. Step 3: Cross multiply
    292,284x = 403,351.92 × 158,148
  4. Step 4: Simplify right side
    292,284x = 63,789,299,444.16
  5. Step 5: Solve for x
    x = 63,789,299,444.16/292,284
  6. Step 6: Final answer
    x = 218,244.24

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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.