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Finding the Fourth Proportional to 166,048.40, 249,072.60 and 152,051.60

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Solution

The fourth proportional to 166,048.40, 249,072.60 and 152,051.60 is: 228,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,048.40 : 249,072.60 = 152,051.60 : x
  2. Step 2: Convert to fraction form
    166,048.40/249,072.60 = 152,051.60/x
  3. Step 3: Cross multiply
    166,048.40x = 249,072.60 × 152,051.60
  4. Step 4: Simplify right side
    166,048.40x = 37,871,887,346.16
  5. Step 5: Solve for x
    x = 37,871,887,346.16/166,048.40
  6. Step 6: Final answer
    x = 228,077.40

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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.