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Finding the Fourth Proportional to 117,302.65, 175,916.81 and 42,412.88

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Solution

The fourth proportional to 117,302.65, 175,916.81 and 42,412.88 is: 63,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,302.65 : 175,916.81 = 42,412.88 : x
  2. Step 2: Convert to fraction form
    117,302.65/175,916.81 = 42,412.88/x
  3. Step 3: Cross multiply
    117,302.65x = 175,916.81 × 42,412.88
  4. Step 4: Simplify right side
    117,302.65x = 7,461,139,098.34
  5. Step 5: Solve for x
    x = 7,461,139,098.34/117,302.65
  6. Step 6: Final answer
    x = 63,605.89

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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.