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Finding the Fourth Proportional to 242,482.96, 334,621.74 and 166,000.12

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Solution

The fourth proportional to 242,482.96, 334,621.74 and 166,000.12 is: 229,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,482.96 : 334,621.74 = 166,000.12 : x
  2. Step 2: Convert to fraction form
    242,482.96/334,621.74 = 166,000.12/x
  3. Step 3: Cross multiply
    242,482.96x = 334,621.74 × 166,000.12
  4. Step 4: Simplify right side
    242,482.96x = 55,547,248,994.61
  5. Step 5: Solve for x
    x = 55,547,248,994.61/242,482.96
  6. Step 6: Final answer
    x = 229,076.92

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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.