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Finding the Fourth Proportional to 117,302.46, 175,916.53 and 42,412.70

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Solution

The fourth proportional to 117,302.46, 175,916.53 and 42,412.70 is: 63,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,302.46 : 175,916.53 = 42,412.70 : x
  2. Step 2: Convert to fraction form
    117,302.46/175,916.53 = 42,412.70/x
  3. Step 3: Cross multiply
    117,302.46x = 175,916.53 × 42,412.70
  4. Step 4: Simplify right side
    117,302.46x = 7,461,094,185.36
  5. Step 5: Solve for x
    x = 7,461,094,185.36/117,302.46
  6. Step 6: Final answer
    x = 63,605.61

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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.