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Finding the Fourth Proportional to 292,530.51, 438,812.10 and 82,152

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Solution

The fourth proportional to 292,530.51, 438,812.10 and 82,152 is: 123,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,530.51 : 438,812.10 = 82,152 : x
  2. Step 2: Convert to fraction form
    292,530.51/438,812.10 = 82,152/x
  3. Step 3: Cross multiply
    292,530.51x = 438,812.10 × 82,152
  4. Step 4: Simplify right side
    292,530.51x = 36,049,291,639.20
  5. Step 5: Solve for x
    x = 36,049,291,639.20/292,530.51
  6. Step 6: Final answer
    x = 123,232.59

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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.