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Finding the Fourth Proportional to 134,803.50, 202,205.26 and 36,307.50

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Solution

The fourth proportional to 134,803.50, 202,205.26 and 36,307.50 is: 54,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,803.50 : 202,205.26 = 36,307.50 : x
  2. Step 2: Convert to fraction form
    134,803.50/202,205.26 = 36,307.50/x
  3. Step 3: Cross multiply
    134,803.50x = 202,205.26 × 36,307.50
  4. Step 4: Simplify right side
    134,803.50x = 7,341,567,477.45
  5. Step 5: Solve for x
    x = 7,341,567,477.45/134,803.50
  6. Step 6: Final answer
    x = 54,461.25

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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.