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Finding the Fourth Proportional to 107,458.94, 160,399.70 and 99,542

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Solution

The fourth proportional to 107,458.94, 160,399.70 and 99,542 is: 148,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,458.94 : 160,399.70 = 99,542 : x
  2. Step 2: Convert to fraction form
    107,458.94/160,399.70 = 99,542/x
  3. Step 3: Cross multiply
    107,458.94x = 160,399.70 × 99,542
  4. Step 4: Simplify right side
    107,458.94x = 15,966,506,937.40
  5. Step 5: Solve for x
    x = 15,966,506,937.40/107,458.94
  6. Step 6: Final answer
    x = 148,582.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.