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Finding the Fourth Proportional to 289,440.16, 434,308.50 and 137,808.83

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Solution

The fourth proportional to 289,440.16, 434,308.50 and 137,808.83 is: 206,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,440.16 : 434,308.50 = 137,808.83 : x
  2. Step 2: Convert to fraction form
    289,440.16/434,308.50 = 137,808.83/x
  3. Step 3: Cross multiply
    289,440.16x = 434,308.50 × 137,808.83
  4. Step 4: Simplify right side
    289,440.16x = 59,851,547,329.83
  5. Step 5: Solve for x
    x = 59,851,547,329.83/289,440.16
  6. Step 6: Final answer
    x = 206,783.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.