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Finding the Fourth Proportional to 242,935.98, 364,404.03 and 130,461.48

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Solution

The fourth proportional to 242,935.98, 364,404.03 and 130,461.48 is: 195,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,935.98 : 364,404.03 = 130,461.48 : x
  2. Step 2: Convert to fraction form
    242,935.98/364,404.03 = 130,461.48/x
  3. Step 3: Cross multiply
    242,935.98x = 364,404.03 × 130,461.48
  4. Step 4: Simplify right side
    242,935.98x = 47,540,689,071.76
  5. Step 5: Solve for x
    x = 47,540,689,071.76/242,935.98
  6. Step 6: Final answer
    x = 195,692.25

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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.