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Finding the Fourth Proportional to 242,264.56, 334,039 and 165,820.56

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Solution

The fourth proportional to 242,264.56, 334,039 and 165,820.56 is: 228,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,264.56 : 334,039 = 165,820.56 : x
  2. Step 2: Convert to fraction form
    242,264.56/334,039 = 165,820.56/x
  3. Step 3: Cross multiply
    242,264.56x = 334,039 × 165,820.56
  4. Step 4: Simplify right side
    242,264.56x = 55,390,534,041.84
  5. Step 5: Solve for x
    x = 55,390,534,041.84/242,264.56
  6. Step 6: Final answer
    x = 228,636.55

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1.5x scale

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.