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Finding the Fourth Proportional to 152,218.63, 228,301.21 and 47,038.51

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Solution

The fourth proportional to 152,218.63, 228,301.21 and 47,038.51 is: 70,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,218.63 : 228,301.21 = 47,038.51 : x
  2. Step 2: Convert to fraction form
    152,218.63/228,301.21 = 47,038.51/x
  3. Step 3: Cross multiply
    152,218.63x = 228,301.21 × 47,038.51
  4. Step 4: Simplify right side
    152,218.63x = 10,738,948,749.60
  5. Step 5: Solve for x
    x = 10,738,948,749.60/152,218.63
  6. Step 6: Final answer
    x = 70,549.50

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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.