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Finding the Fourth Proportional to 176,038.60, 242,857.02 and 117,825.52

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Solution

The fourth proportional to 176,038.60, 242,857.02 and 117,825.52 is: 162,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,038.60 : 242,857.02 = 117,825.52 : x
  2. Step 2: Convert to fraction form
    176,038.60/242,857.02 = 117,825.52/x
  3. Step 3: Cross multiply
    176,038.60x = 242,857.02 × 117,825.52
  4. Step 4: Simplify right side
    176,038.60x = 28,614,754,667.15
  5. Step 5: Solve for x
    x = 28,614,754,667.15/176,038.60
  6. Step 6: Final answer
    x = 162,548.18

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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.