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Finding the Fourth Proportional to 176,671.87, 265,968.92 and 160,977.89

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Solution

The fourth proportional to 176,671.87, 265,968.92 and 160,977.89 is: 242,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,671.87 : 265,968.92 = 160,977.89 : x
  2. Step 2: Convert to fraction form
    176,671.87/265,968.92 = 160,977.89/x
  3. Step 3: Cross multiply
    176,671.87x = 265,968.92 × 160,977.89
  4. Step 4: Simplify right side
    176,671.87x = 42,815,115,547.18
  5. Step 5: Solve for x
    x = 42,815,115,547.18/176,671.87
  6. Step 6: Final answer
    x = 242,342.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.