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Finding the Fourth Proportional to 114,683.10, 172,024.65 and 97,230.30

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Solution

The fourth proportional to 114,683.10, 172,024.65 and 97,230.30 is: 145,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,683.10 : 172,024.65 = 97,230.30 : x
  2. Step 2: Convert to fraction form
    114,683.10/172,024.65 = 97,230.30/x
  3. Step 3: Cross multiply
    114,683.10x = 172,024.65 × 97,230.30
  4. Step 4: Simplify right side
    114,683.10x = 16,726,008,326.90
  5. Step 5: Solve for x
    x = 16,726,008,326.90/114,683.10
  6. Step 6: Final answer
    x = 145,845.45

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1.5x scale

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.