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Finding the Fourth Proportional to 135,322.80, 202,897.80 and 56,468.40

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Solution

The fourth proportional to 135,322.80, 202,897.80 and 56,468.40 is: 84,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,322.80 : 202,897.80 = 56,468.40 : x
  2. Step 2: Convert to fraction form
    135,322.80/202,897.80 = 56,468.40/x
  3. Step 3: Cross multiply
    135,322.80x = 202,897.80 × 56,468.40
  4. Step 4: Simplify right side
    135,322.80x = 11,457,314,129.52
  5. Step 5: Solve for x
    x = 11,457,314,129.52/135,322.80
  6. Step 6: Final answer
    x = 84,666.55

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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.