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Finding the Fourth Proportional to 114,098.16, 157,461.43 and 65,707.44

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Solution

The fourth proportional to 114,098.16, 157,461.43 and 65,707.44 is: 90,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098.16 : 157,461.43 = 65,707.44 : x
  2. Step 2: Convert to fraction form
    114,098.16/157,461.43 = 65,707.44/x
  3. Step 3: Cross multiply
    114,098.16x = 157,461.43 × 65,707.44
  4. Step 4: Simplify right side
    114,098.16x = 10,346,387,464.04
  5. Step 5: Solve for x
    x = 10,346,387,464.04/114,098.16
  6. Step 6: Final answer
    x = 90,679.70

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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.