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Finding the Fourth Proportional to 151,776.40, 212,798 and 151,776.40

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Solution

The fourth proportional to 151,776.40, 212,798 and 151,776.40 is: 212,798

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,776.40 : 212,798 = 151,776.40 : x
  2. Step 2: Convert to fraction form
    151,776.40/212,798 = 151,776.40/x
  3. Step 3: Cross multiply
    151,776.40x = 212,798 × 151,776.40
  4. Step 4: Simplify right side
    151,776.40x = 32,297,714,367.20
  5. Step 5: Solve for x
    x = 32,297,714,367.20/151,776.40
  6. Step 6: Final answer
    x = 212,798

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.