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Finding the Fourth Proportional to 282,315.96, 423,384.72 and 92,745.20

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Solution

The fourth proportional to 282,315.96, 423,384.72 and 92,745.20 is: 139,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,315.96 : 423,384.72 = 92,745.20 : x
  2. Step 2: Convert to fraction form
    282,315.96/423,384.72 = 92,745.20/x
  3. Step 3: Cross multiply
    282,315.96x = 423,384.72 × 92,745.20
  4. Step 4: Simplify right side
    282,315.96x = 39,266,900,533.34
  5. Step 5: Solve for x
    x = 39,266,900,533.34/282,315.96
  6. Step 6: Final answer
    x = 139,088.49

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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.