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Finding the Fourth Proportional to 214,697.16, 296,291.34 and 119,203.88

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Solution

The fourth proportional to 214,697.16, 296,291.34 and 119,203.88 is: 164,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,697.16 : 296,291.34 = 119,203.88 : x
  2. Step 2: Convert to fraction form
    214,697.16/296,291.34 = 119,203.88/x
  3. Step 3: Cross multiply
    214,697.16x = 296,291.34 × 119,203.88
  4. Step 4: Simplify right side
    214,697.16x = 35,319,075,856.94
  5. Step 5: Solve for x
    x = 35,319,075,856.94/214,697.16
  6. Step 6: Final answer
    x = 164,506.49

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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.