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Finding the Fourth Proportional to 157,649.68, 236,051.70 and 98,367.40

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Solution

The fourth proportional to 157,649.68, 236,051.70 and 98,367.40 is: 147,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,649.68 : 236,051.70 = 98,367.40 : x
  2. Step 2: Convert to fraction form
    157,649.68/236,051.70 = 98,367.40/x
  3. Step 3: Cross multiply
    157,649.68x = 236,051.70 × 98,367.40
  4. Step 4: Simplify right side
    157,649.68x = 23,219,791,994.58
  5. Step 5: Solve for x
    x = 23,219,791,994.58/157,649.68
  6. Step 6: Final answer
    x = 147,287.28

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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.