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Finding the Fourth Proportional to 282,988.76, 424,428.93 and 109,880.48

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Solution

The fourth proportional to 282,988.76, 424,428.93 and 109,880.48 is: 164,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,988.76 : 424,428.93 = 109,880.48 : x
  2. Step 2: Convert to fraction form
    282,988.76/424,428.93 = 109,880.48/x
  3. Step 3: Cross multiply
    282,988.76x = 424,428.93 × 109,880.48
  4. Step 4: Simplify right side
    282,988.76x = 46,636,452,432.14
  5. Step 5: Solve for x
    x = 46,636,452,432.14/282,988.76
  6. Step 6: Final answer
    x = 164,799.67

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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.