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Finding the Fourth Proportional to 176,564.40, 264,457.80 and 156,865.20

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Solution

The fourth proportional to 176,564.40, 264,457.80 and 156,865.20 is: 234,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564.40 : 264,457.80 = 156,865.20 : x
  2. Step 2: Convert to fraction form
    176,564.40/264,457.80 = 156,865.20/x
  3. Step 3: Cross multiply
    176,564.40x = 264,457.80 × 156,865.20
  4. Step 4: Simplify right side
    176,564.40x = 41,484,225,688.56
  5. Step 5: Solve for x
    x = 41,484,225,688.56/176,564.40
  6. Step 6: Final answer
    x = 234,952.38

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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.