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Finding the Fourth Proportional to 152,703.77, 229,055.65 and 47,522.77

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Solution

The fourth proportional to 152,703.77, 229,055.65 and 47,522.77 is: 71,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,703.77 : 229,055.65 = 47,522.77 : x
  2. Step 2: Convert to fraction form
    152,703.77/229,055.65 = 47,522.77/x
  3. Step 3: Cross multiply
    152,703.77x = 229,055.65 × 47,522.77
  4. Step 4: Simplify right side
    152,703.77x = 10,885,358,280.70
  5. Step 5: Solve for x
    x = 10,885,358,280.70/152,703.77
  6. Step 6: Final answer
    x = 71,284.15

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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.