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Finding the Fourth Proportional to 172,838.34, 238,518.81 and 97,385.22

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Solution

The fourth proportional to 172,838.34, 238,518.81 and 97,385.22 is: 134,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,838.34 : 238,518.81 = 97,385.22 : x
  2. Step 2: Convert to fraction form
    172,838.34/238,518.81 = 97,385.22/x
  3. Step 3: Cross multiply
    172,838.34x = 238,518.81 × 97,385.22
  4. Step 4: Simplify right side
    172,838.34x = 23,228,206,785.99
  5. Step 5: Solve for x
    x = 23,228,206,785.99/172,838.34
  6. Step 6: Final answer
    x = 134,392.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.