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Finding the Fourth Proportional to 284,829.10, 427,282.05 and 97,897.90

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Solution

The fourth proportional to 284,829.10, 427,282.05 and 97,897.90 is: 146,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,829.10 : 427,282.05 = 97,897.90 : x
  2. Step 2: Convert to fraction form
    284,829.10/427,282.05 = 97,897.90/x
  3. Step 3: Cross multiply
    284,829.10x = 427,282.05 × 97,897.90
  4. Step 4: Simplify right side
    284,829.10x = 41,830,015,402.70
  5. Step 5: Solve for x
    x = 41,830,015,402.70/284,829.10
  6. Step 6: Final answer
    x = 146,860.05

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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.