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Finding the Fourth Proportional to 102,348.53, 153,493.64 and 64,852.01

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Solution

The fourth proportional to 102,348.53, 153,493.64 and 64,852.01 is: 97,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,348.53 : 153,493.64 = 64,852.01 : x
  2. Step 2: Convert to fraction form
    102,348.53/153,493.64 = 64,852.01/x
  3. Step 3: Cross multiply
    102,348.53x = 153,493.64 × 64,852.01
  4. Step 4: Simplify right side
    102,348.53x = 9,954,370,751.96
  5. Step 5: Solve for x
    x = 9,954,370,751.96/102,348.53
  6. Step 6: Final answer
    x = 97,259.54

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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.