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Finding the Fourth Proportional to 166,011, 249,014.16 and 77,214.84

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Solution

The fourth proportional to 166,011, 249,014.16 and 77,214.84 is: 115,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,011 : 249,014.16 = 77,214.84 : x
  2. Step 2: Convert to fraction form
    166,011/249,014.16 = 77,214.84/x
  3. Step 3: Cross multiply
    166,011x = 249,014.16 × 77,214.84
  4. Step 4: Simplify right side
    166,011x = 19,227,588,522.13
  5. Step 5: Solve for x
    x = 19,227,588,522.13/166,011
  6. Step 6: Final answer
    x = 115,821.17

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1.5x scale

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.