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Finding the Fourth Proportional to 152,023.90, 228,057.45 and 46,831.90

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Solution

The fourth proportional to 152,023.90, 228,057.45 and 46,831.90 is: 70,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,023.90 : 228,057.45 = 46,831.90 : x
  2. Step 2: Convert to fraction form
    152,023.90/228,057.45 = 46,831.90/x
  3. Step 3: Cross multiply
    152,023.90x = 228,057.45 × 46,831.90
  4. Step 4: Simplify right side
    152,023.90x = 10,680,363,692.66
  5. Step 5: Solve for x
    x = 10,680,363,692.66/152,023.90
  6. Step 6: Final answer
    x = 70,254.50

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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.