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Finding the Fourth Proportional to 261,525, 360,904.50 and 142,293

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Solution

The fourth proportional to 261,525, 360,904.50 and 142,293 is: 196,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,525 : 360,904.50 = 142,293 : x
  2. Step 2: Convert to fraction form
    261,525/360,904.50 = 142,293/x
  3. Step 3: Cross multiply
    261,525x = 360,904.50 × 142,293
  4. Step 4: Simplify right side
    261,525x = 51,354,184,018.50
  5. Step 5: Solve for x
    x = 51,354,184,018.50/261,525
  6. Step 6: Final answer
    x = 196,364.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.