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Finding the Fourth Proportional to 209,599.40, 314,153.03 and 97,041.85

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Solution

The fourth proportional to 209,599.40, 314,153.03 and 97,041.85 is: 145,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,599.40 : 314,153.03 = 97,041.85 : x
  2. Step 2: Convert to fraction form
    209,599.40/314,153.03 = 97,041.85/x
  3. Step 3: Cross multiply
    209,599.40x = 314,153.03 × 97,041.85
  4. Step 4: Simplify right side
    209,599.40x = 30,485,990,671.53
  5. Step 5: Solve for x
    x = 30,485,990,671.53/209,599.40
  6. Step 6: Final answer
    x = 145,448.84

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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.