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Finding the Fourth Proportional to 166,492.64, 249,763.80 and 61,303.64

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Solution

The fourth proportional to 166,492.64, 249,763.80 and 61,303.64 is: 91,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,492.64 : 249,763.80 = 61,303.64 : x
  2. Step 2: Convert to fraction form
    166,492.64/249,763.80 = 61,303.64/x
  3. Step 3: Cross multiply
    166,492.64x = 249,763.80 × 61,303.64
  4. Step 4: Simplify right side
    166,492.64x = 15,311,430,080.23
  5. Step 5: Solve for x
    x = 15,311,430,080.23/166,492.64
  6. Step 6: Final answer
    x = 91,964.61

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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.