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Finding the Fourth Proportional to 214,357.76, 295,825.52 and 118,862.40

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Solution

The fourth proportional to 214,357.76, 295,825.52 and 118,862.40 is: 164,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,357.76 : 295,825.52 = 118,862.40 : x
  2. Step 2: Convert to fraction form
    214,357.76/295,825.52 = 118,862.40/x
  3. Step 3: Cross multiply
    214,357.76x = 295,825.52 × 118,862.40
  4. Step 4: Simplify right side
    214,357.76x = 35,162,532,026.35
  5. Step 5: Solve for x
    x = 35,162,532,026.35/214,357.76
  6. Step 6: Final answer
    x = 164,036.67

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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.