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Finding the Fourth Proportional to 152,006.40, 228,031.20 and 46,814.40

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Solution

The fourth proportional to 152,006.40, 228,031.20 and 46,814.40 is: 70,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,006.40 : 228,031.20 = 46,814.40 : x
  2. Step 2: Convert to fraction form
    152,006.40/228,031.20 = 46,814.40/x
  3. Step 3: Cross multiply
    152,006.40x = 228,031.20 × 46,814.40
  4. Step 4: Simplify right side
    152,006.40x = 10,675,143,809.28
  5. Step 5: Solve for x
    x = 10,675,143,809.28/152,006.40
  6. Step 6: Final answer
    x = 70,228.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.