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Finding the Fourth Proportional to 156,461.12, 234,798.60 and 86,389.64

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Solution

The fourth proportional to 156,461.12, 234,798.60 and 86,389.64 is: 129,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,461.12 : 234,798.60 = 86,389.64 : x
  2. Step 2: Convert to fraction form
    156,461.12/234,798.60 = 86,389.64/x
  3. Step 3: Cross multiply
    156,461.12x = 234,798.60 × 86,389.64
  4. Step 4: Simplify right side
    156,461.12x = 20,284,166,526.50
  5. Step 5: Solve for x
    x = 20,284,166,526.50/156,461.12
  6. Step 6: Final answer
    x = 129,643.50

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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.