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Finding the Fourth Proportional to 214,064.59, 295,408.56 and 123,420.13

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Solution

The fourth proportional to 214,064.59, 295,408.56 and 123,420.13 is: 170,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,064.59 : 295,408.56 = 123,420.13 : x
  2. Step 2: Convert to fraction form
    214,064.59/295,408.56 = 123,420.13/x
  3. Step 3: Cross multiply
    214,064.59x = 295,408.56 × 123,420.13
  4. Step 4: Simplify right side
    214,064.59x = 36,459,362,878.31
  5. Step 5: Solve for x
    x = 36,459,362,878.31/214,064.59
  6. Step 6: Final answer
    x = 170,319.45

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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.