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Finding the Fourth Proportional to 152,287.84, 228,460.90 and 47,088.28

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Solution

The fourth proportional to 152,287.84, 228,460.90 and 47,088.28 is: 70,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,287.84 : 228,460.90 = 47,088.28 : x
  2. Step 2: Convert to fraction form
    152,287.84/228,460.90 = 47,088.28/x
  3. Step 3: Cross multiply
    152,287.84x = 228,460.90 × 47,088.28
  4. Step 4: Simplify right side
    152,287.84x = 10,757,830,828.25
  5. Step 5: Solve for x
    x = 10,757,830,828.25/152,287.84
  6. Step 6: Final answer
    x = 70,641.43

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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.