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Finding the Fourth Proportional to 165,995.98, 249,056.88 and 99,483.84

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Solution

The fourth proportional to 165,995.98, 249,056.88 and 99,483.84 is: 149,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,995.98 : 249,056.88 = 99,483.84 : x
  2. Step 2: Convert to fraction form
    165,995.98/249,056.88 = 99,483.84/x
  3. Step 3: Cross multiply
    165,995.98x = 249,056.88 × 99,483.84
  4. Step 4: Simplify right side
    165,995.98x = 24,777,134,800.82
  5. Step 5: Solve for x
    x = 24,777,134,800.82/165,995.98
  6. Step 6: Final answer
    x = 149,263.46

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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.