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Finding the Fourth Proportional to 116,584.40, 175,265.40 and 99,477.20

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Solution

The fourth proportional to 116,584.40, 175,265.40 and 99,477.20 is: 149,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,584.40 : 175,265.40 = 99,477.20 : x
  2. Step 2: Convert to fraction form
    116,584.40/175,265.40 = 99,477.20/x
  3. Step 3: Cross multiply
    116,584.40x = 175,265.40 × 99,477.20
  4. Step 4: Simplify right side
    116,584.40x = 17,434,911,248.88
  5. Step 5: Solve for x
    x = 17,434,911,248.88/116,584.40
  6. Step 6: Final answer
    x = 149,547.55

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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.