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Finding the Fourth Proportional to 235,602, 353,516.40 and 117,283.68

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Solution

The fourth proportional to 235,602, 353,516.40 and 117,283.68 is: 175,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,602 : 353,516.40 = 117,283.68 : x
  2. Step 2: Convert to fraction form
    235,602/353,516.40 = 117,283.68/x
  3. Step 3: Cross multiply
    235,602x = 353,516.40 × 117,283.68
  4. Step 4: Simplify right side
    235,602x = 41,461,704,332.35
  5. Step 5: Solve for x
    x = 41,461,704,332.35/235,602
  6. Step 6: Final answer
    x = 175,981.97

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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.