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Finding the Fourth Proportional to 145,417.68, 200,673 and 81,755.28

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Solution

The fourth proportional to 145,417.68, 200,673 and 81,755.28 is: 112,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,417.68 : 200,673 = 81,755.28 : x
  2. Step 2: Convert to fraction form
    145,417.68/200,673 = 81,755.28/x
  3. Step 3: Cross multiply
    145,417.68x = 200,673 × 81,755.28
  4. Step 4: Simplify right side
    145,417.68x = 16,406,077,303.44
  5. Step 5: Solve for x
    x = 16,406,077,303.44/145,417.68
  6. Step 6: Final answer
    x = 112,820.38

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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.