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Finding the Fourth Proportional to 157,697.63, 217,622.93 and 101,109

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Solution

The fourth proportional to 157,697.63, 217,622.93 and 101,109 is: 139,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,697.63 : 217,622.93 = 101,109 : x
  2. Step 2: Convert to fraction form
    157,697.63/217,622.93 = 101,109/x
  3. Step 3: Cross multiply
    157,697.63x = 217,622.93 × 101,109
  4. Step 4: Simplify right side
    157,697.63x = 22,003,636,323.83
  5. Step 5: Solve for x
    x = 22,003,636,323.83/157,697.63
  6. Step 6: Final answer
    x = 139,530.55

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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.