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Finding the Fourth Proportional to 152,417.76, 228,637.56 and 52,576.50

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Solution

The fourth proportional to 152,417.76, 228,637.56 and 52,576.50 is: 78,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,417.76 : 228,637.56 = 52,576.50 : x
  2. Step 2: Convert to fraction form
    152,417.76/228,637.56 = 52,576.50/x
  3. Step 3: Cross multiply
    152,417.76x = 228,637.56 × 52,576.50
  4. Step 4: Simplify right side
    152,417.76x = 12,020,962,673.34
  5. Step 5: Solve for x
    x = 12,020,962,673.34/152,417.76
  6. Step 6: Final answer
    x = 78,868.52

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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.