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Finding the Fourth Proportional to 98,284.34, 147,384.39 and 45,688.34

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Solution

The fourth proportional to 98,284.34, 147,384.39 and 45,688.34 is: 68,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,284.34 : 147,384.39 = 45,688.34 : x
  2. Step 2: Convert to fraction form
    98,284.34/147,384.39 = 45,688.34/x
  3. Step 3: Cross multiply
    98,284.34x = 147,384.39 × 45,688.34
  4. Step 4: Simplify right side
    98,284.34x = 6,733,748,121.01
  5. Step 5: Solve for x
    x = 6,733,748,121.01/98,284.34
  6. Step 6: Final answer
    x = 68,512.93

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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.