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Finding the Fourth Proportional to 242,530.10, 363,795.15 and 204,038.90

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Solution

The fourth proportional to 242,530.10, 363,795.15 and 204,038.90 is: 306,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530.10 : 363,795.15 = 204,038.90 : x
  2. Step 2: Convert to fraction form
    242,530.10/363,795.15 = 204,038.90/x
  3. Step 3: Cross multiply
    242,530.10x = 363,795.15 × 204,038.90
  4. Step 4: Simplify right side
    242,530.10x = 74,228,362,231.34
  5. Step 5: Solve for x
    x = 74,228,362,231.34/242,530.10
  6. Step 6: Final answer
    x = 306,058.35

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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.