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Finding the Fourth Proportional to 292,038.68, 402,989.16 and 164,745.56

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Solution

The fourth proportional to 292,038.68, 402,989.16 and 164,745.56 is: 227,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,038.68 : 402,989.16 = 164,745.56 : x
  2. Step 2: Convert to fraction form
    292,038.68/402,989.16 = 164,745.56/x
  3. Step 3: Cross multiply
    292,038.68x = 402,989.16 × 164,745.56
  4. Step 4: Simplify right side
    292,038.68x = 66,390,674,838.13
  5. Step 5: Solve for x
    x = 66,390,674,838.13/292,038.68
  6. Step 6: Final answer
    x = 227,335.21

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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.