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Finding the Fourth Proportional to 155,796.48, 233,763.84 and 115,776

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Solution

The fourth proportional to 155,796.48, 233,763.84 and 115,776 is: 173,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,796.48 : 233,763.84 = 115,776 : x
  2. Step 2: Convert to fraction form
    155,796.48/233,763.84 = 115,776/x
  3. Step 3: Cross multiply
    155,796.48x = 233,763.84 × 115,776
  4. Step 4: Simplify right side
    155,796.48x = 27,064,242,339.84
  5. Step 5: Solve for x
    x = 27,064,242,339.84/155,796.48
  6. Step 6: Final answer
    x = 173,715.36

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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.