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Finding the Fourth Proportional to 158,461.92, 237,705.84 and 64,968.48

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Solution

The fourth proportional to 158,461.92, 237,705.84 and 64,968.48 is: 97,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,461.92 : 237,705.84 = 64,968.48 : x
  2. Step 2: Convert to fraction form
    158,461.92/237,705.84 = 64,968.48/x
  3. Step 3: Cross multiply
    158,461.92x = 237,705.84 × 64,968.48
  4. Step 4: Simplify right side
    158,461.92x = 15,443,387,111.92
  5. Step 5: Solve for x
    x = 15,443,387,111.92/158,461.92
  6. Step 6: Final answer
    x = 97,458.03

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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.