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Finding the Fourth Proportional to 199,627.04, 299,492.40 and 99,783.20

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Solution

The fourth proportional to 199,627.04, 299,492.40 and 99,783.20 is: 149,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,627.04 : 299,492.40 = 99,783.20 : x
  2. Step 2: Convert to fraction form
    199,627.04/299,492.40 = 99,783.20/x
  3. Step 3: Cross multiply
    199,627.04x = 299,492.40 × 99,783.20
  4. Step 4: Simplify right side
    199,627.04x = 29,884,308,550.22
  5. Step 5: Solve for x
    x = 29,884,308,550.22/199,627.04
  6. Step 6: Final answer
    x = 149,700.71

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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.