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Finding the Fourth Proportional to 155,166, 232,762.50 and 42,846.36

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Solution

The fourth proportional to 155,166, 232,762.50 and 42,846.36 is: 64,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,166 : 232,762.50 = 42,846.36 : x
  2. Step 2: Convert to fraction form
    155,166/232,762.50 = 42,846.36/x
  3. Step 3: Cross multiply
    155,166x = 232,762.50 × 42,846.36
  4. Step 4: Simplify right side
    155,166x = 9,973,025,869.50
  5. Step 5: Solve for x
    x = 9,973,025,869.50/155,166
  6. Step 6: Final answer
    x = 64,273.27

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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.