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Finding the Fourth Proportional to 115,931.13, 160,803.45 and 112,858.40

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Solution

The fourth proportional to 115,931.13, 160,803.45 and 112,858.40 is: 156,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,931.13 : 160,803.45 = 112,858.40 : x
  2. Step 2: Convert to fraction form
    115,931.13/160,803.45 = 112,858.40/x
  3. Step 3: Cross multiply
    115,931.13x = 160,803.45 × 112,858.40
  4. Step 4: Simplify right side
    115,931.13x = 18,148,019,277.46
  5. Step 5: Solve for x
    x = 18,148,019,277.46/115,931.13
  6. Step 6: Final answer
    x = 156,541.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.