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Finding the Fourth Proportional to 130,465.80, 195,698.70 and 77,977.80

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Solution

The fourth proportional to 130,465.80, 195,698.70 and 77,977.80 is: 116,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,465.80 : 195,698.70 = 77,977.80 : x
  2. Step 2: Convert to fraction form
    130,465.80/195,698.70 = 77,977.80/x
  3. Step 3: Cross multiply
    130,465.80x = 195,698.70 × 77,977.80
  4. Step 4: Simplify right side
    130,465.80x = 15,260,154,088.86
  5. Step 5: Solve for x
    x = 15,260,154,088.86/130,465.80
  6. Step 6: Final answer
    x = 116,966.70

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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.