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Finding the Fourth Proportional to 176,051.40, 242,899.74 and 114,815.40

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Solution

The fourth proportional to 176,051.40, 242,899.74 and 114,815.40 is: 158,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,051.40 : 242,899.74 = 114,815.40 : x
  2. Step 2: Convert to fraction form
    176,051.40/242,899.74 = 114,815.40/x
  3. Step 3: Cross multiply
    176,051.40x = 242,899.74 × 114,815.40
  4. Step 4: Simplify right side
    176,051.40x = 27,888,630,808.00
  5. Step 5: Solve for x
    x = 27,888,630,808.00/176,051.40
  6. Step 6: Final answer
    x = 158,411.87

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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.