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Finding the Fourth Proportional to 214,157.52, 295,403.22 and 137,776.01

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Solution

The fourth proportional to 214,157.52, 295,403.22 and 137,776.01 is: 190,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,157.52 : 295,403.22 = 137,776.01 : x
  2. Step 2: Convert to fraction form
    214,157.52/295,403.22 = 137,776.01/x
  3. Step 3: Cross multiply
    214,157.52x = 295,403.22 × 137,776.01
  4. Step 4: Simplify right side
    214,157.52x = 40,699,475,515.74
  5. Step 5: Solve for x
    x = 40,699,475,515.74/214,157.52
  6. Step 6: Final answer
    x = 190,044.58

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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.