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Finding the Fourth Proportional to 260,681.68, 359,748.30 and 147,502

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Solution

The fourth proportional to 260,681.68, 359,748.30 and 147,502 is: 203,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,681.68 : 359,748.30 = 147,502 : x
  2. Step 2: Convert to fraction form
    260,681.68/359,748.30 = 147,502/x
  3. Step 3: Cross multiply
    260,681.68x = 359,748.30 × 147,502
  4. Step 4: Simplify right side
    260,681.68x = 53,063,593,746.60
  5. Step 5: Solve for x
    x = 53,063,593,746.60/260,681.68
  6. Step 6: Final answer
    x = 203,557.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.