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Finding the Fourth Proportional to 160,977.60, 241,455.60 and 42,646.40

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Solution

The fourth proportional to 160,977.60, 241,455.60 and 42,646.40 is: 63,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,977.60 : 241,455.60 = 42,646.40 : x
  2. Step 2: Convert to fraction form
    160,977.60/241,455.60 = 42,646.40/x
  3. Step 3: Cross multiply
    160,977.60x = 241,455.60 × 42,646.40
  4. Step 4: Simplify right side
    160,977.60x = 10,297,212,099.84
  5. Step 5: Solve for x
    x = 10,297,212,099.84/160,977.60
  6. Step 6: Final answer
    x = 63,966.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.