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Finding the Fourth Proportional to 230,970.48, 346,492.20 and 97,851.60

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Solution

The fourth proportional to 230,970.48, 346,492.20 and 97,851.60 is: 146,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,970.48 : 346,492.20 = 97,851.60 : x
  2. Step 2: Convert to fraction form
    230,970.48/346,492.20 = 97,851.60/x
  3. Step 3: Cross multiply
    230,970.48x = 346,492.20 × 97,851.60
  4. Step 4: Simplify right side
    230,970.48x = 33,904,816,157.52
  5. Step 5: Solve for x
    x = 33,904,816,157.52/230,970.48
  6. Step 6: Final answer
    x = 146,792.85

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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.