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Finding the Fourth Proportional to 214,522.84, 296,041.52 and 119,030.22

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Solution

The fourth proportional to 214,522.84, 296,041.52 and 119,030.22 is: 164,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,522.84 : 296,041.52 = 119,030.22 : x
  2. Step 2: Convert to fraction form
    214,522.84/296,041.52 = 119,030.22/x
  3. Step 3: Cross multiply
    214,522.84x = 296,041.52 × 119,030.22
  4. Step 4: Simplify right side
    214,522.84x = 35,237,887,254.73
  5. Step 5: Solve for x
    x = 35,237,887,254.73/214,522.84
  6. Step 6: Final answer
    x = 164,261.70

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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.