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Finding the Fourth Proportional to 290,100.71, 435,141.40 and 119,316.53

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Solution

The fourth proportional to 290,100.71, 435,141.40 and 119,316.53 is: 178,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,100.71 : 435,141.40 = 119,316.53 : x
  2. Step 2: Convert to fraction form
    290,100.71/435,141.40 = 119,316.53/x
  3. Step 3: Cross multiply
    290,100.71x = 435,141.40 × 119,316.53
  4. Step 4: Simplify right side
    290,100.71x = 51,919,561,907.34
  5. Step 5: Solve for x
    x = 51,919,561,907.34/290,100.71
  6. Step 6: Final answer
    x = 178,970.82

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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.