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Finding the Fourth Proportional to 202,528, 279,485.76 and 117,692.80

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Solution

The fourth proportional to 202,528, 279,485.76 and 117,692.80 is: 162,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,528 : 279,485.76 = 117,692.80 : x
  2. Step 2: Convert to fraction form
    202,528/279,485.76 = 117,692.80/x
  3. Step 3: Cross multiply
    202,528x = 279,485.76 × 117,692.80
  4. Step 4: Simplify right side
    202,528x = 32,893,461,654.53
  5. Step 5: Solve for x
    x = 32,893,461,654.53/202,528
  6. Step 6: Final answer
    x = 162,414.39

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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.