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Finding the Fourth Proportional to 164,467.58, 226,970.76 and 100,793.08

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Solution

The fourth proportional to 164,467.58, 226,970.76 and 100,793.08 is: 139,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,467.58 : 226,970.76 = 100,793.08 : x
  2. Step 2: Convert to fraction form
    164,467.58/226,970.76 = 100,793.08/x
  3. Step 3: Cross multiply
    164,467.58x = 226,970.76 × 100,793.08
  4. Step 4: Simplify right side
    164,467.58x = 22,877,081,970.34
  5. Step 5: Solve for x
    x = 22,877,081,970.34/164,467.58
  6. Step 6: Final answer
    x = 139,097.82

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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.