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Finding the Fourth Proportional to 157,543.40, 236,468.70 and 78,746.60

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Solution

The fourth proportional to 157,543.40, 236,468.70 and 78,746.60 is: 118,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,543.40 : 236,468.70 = 78,746.60 : x
  2. Step 2: Convert to fraction form
    157,543.40/236,468.70 = 78,746.60/x
  3. Step 3: Cross multiply
    157,543.40x = 236,468.70 × 78,746.60
  4. Step 4: Simplify right side
    157,543.40x = 18,621,106,131.42
  5. Step 5: Solve for x
    x = 18,621,106,131.42/157,543.40
  6. Step 6: Final answer
    x = 118,196.68

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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.