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Finding the Fourth Proportional to 117,158.65, 175,701.62 and 42,269.06

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Solution

The fourth proportional to 117,158.65, 175,701.62 and 42,269.06 is: 63,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,158.65 : 175,701.62 = 42,269.06 : x
  2. Step 2: Convert to fraction form
    117,158.65/175,701.62 = 42,269.06/x
  3. Step 3: Cross multiply
    117,158.65x = 175,701.62 × 42,269.06
  4. Step 4: Simplify right side
    117,158.65x = 7,426,742,317.88
  5. Step 5: Solve for x
    x = 7,426,742,317.88/117,158.65
  6. Step 6: Final answer
    x = 63,390.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.