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Finding the Fourth Proportional to 102,068.84, 153,128.36 and 35,509.53

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Solution

The fourth proportional to 102,068.84, 153,128.36 and 35,509.53 is: 53,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,068.84 : 153,128.36 = 35,509.53 : x
  2. Step 2: Convert to fraction form
    102,068.84/153,128.36 = 35,509.53/x
  3. Step 3: Cross multiply
    102,068.84x = 153,128.36 × 35,509.53
  4. Step 4: Simplify right side
    102,068.84x = 5,437,515,915.72
  5. Step 5: Solve for x
    x = 5,437,515,915.72/102,068.84
  6. Step 6: Final answer
    x = 53,273.03

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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.