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Finding the Fourth Proportional to 267,264.07, 368,824.47 and 146,409.64

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Solution

The fourth proportional to 267,264.07, 368,824.47 and 146,409.64 is: 202,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,264.07 : 368,824.47 = 146,409.64 : x
  2. Step 2: Convert to fraction form
    267,264.07/368,824.47 = 146,409.64/x
  3. Step 3: Cross multiply
    267,264.07x = 368,824.47 × 146,409.64
  4. Step 4: Simplify right side
    267,264.07x = 53,999,457,875.89
  5. Step 5: Solve for x
    x = 53,999,457,875.89/267,264.07
  6. Step 6: Final answer
    x = 202,045.33

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Why These Related Problems?

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