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Finding the Fourth Proportional to 98,322.40, 147,468.96 and 28,192.64

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Solution

The fourth proportional to 98,322.40, 147,468.96 and 28,192.64 is: 42,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,322.40 : 147,468.96 = 28,192.64 : x
  2. Step 2: Convert to fraction form
    98,322.40/147,468.96 = 28,192.64/x
  3. Step 3: Cross multiply
    98,322.40x = 147,468.96 × 28,192.64
  4. Step 4: Simplify right side
    98,322.40x = 4,157,539,300.45
  5. Step 5: Solve for x
    x = 4,157,539,300.45/98,322.40
  6. Step 6: Final answer
    x = 42,284.76

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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.