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Finding the Fourth Proportional to 157,193.04, 216,926.43 and 85,573.04

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Solution

The fourth proportional to 157,193.04, 216,926.43 and 85,573.04 is: 118,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,193.04 : 216,926.43 = 85,573.04 : x
  2. Step 2: Convert to fraction form
    157,193.04/216,926.43 = 85,573.04/x
  3. Step 3: Cross multiply
    157,193.04x = 216,926.43 × 85,573.04
  4. Step 4: Simplify right side
    157,193.04x = 18,563,054,071.45
  5. Step 5: Solve for x
    x = 18,563,054,071.45/157,193.04
  6. Step 6: Final answer
    x = 118,090.81

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1.5x scale

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.