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Finding the Fourth Proportional to 242,526.69, 363,307.82 and 189,688.77

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Solution

The fourth proportional to 242,526.69, 363,307.82 and 189,688.77 is: 284,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,526.69 : 363,307.82 = 189,688.77 : x
  2. Step 2: Convert to fraction form
    242,526.69/363,307.82 = 189,688.77/x
  3. Step 3: Cross multiply
    242,526.69x = 363,307.82 × 189,688.77
  4. Step 4: Simplify right side
    242,526.69x = 68,915,412,558.74
  5. Step 5: Solve for x
    x = 68,915,412,558.74/242,526.69
  6. Step 6: Final answer
    x = 284,155.99

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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.