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Finding the Fourth Proportional to 262,523, 362,281.74 and 143,291

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Solution

The fourth proportional to 262,523, 362,281.74 and 143,291 is: 197,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,523 : 362,281.74 = 143,291 : x
  2. Step 2: Convert to fraction form
    262,523/362,281.74 = 143,291/x
  3. Step 3: Cross multiply
    262,523x = 362,281.74 × 143,291
  4. Step 4: Simplify right side
    262,523x = 51,911,712,806.34
  5. Step 5: Solve for x
    x = 51,911,712,806.34/262,523
  6. Step 6: Final answer
    x = 197,741.58

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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.