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Finding the Fourth Proportional to 176,824, 265,238.43 and 98,092

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Solution

The fourth proportional to 176,824, 265,238.43 and 98,092 is: 147,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,824 : 265,238.43 = 98,092 : x
  2. Step 2: Convert to fraction form
    176,824/265,238.43 = 98,092/x
  3. Step 3: Cross multiply
    176,824x = 265,238.43 × 98,092
  4. Step 4: Simplify right side
    176,824x = 26,017,768,075.56
  5. Step 5: Solve for x
    x = 26,017,768,075.56/176,824
  6. Step 6: Final answer
    x = 147,139.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.