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Finding the Fourth Proportional to 152,097, 228,176.10 and 46,911.48

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Solution

The fourth proportional to 152,097, 228,176.10 and 46,911.48 is: 70,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,097 : 228,176.10 = 46,911.48 : x
  2. Step 2: Convert to fraction form
    152,097/228,176.10 = 46,911.48/x
  3. Step 3: Cross multiply
    152,097x = 228,176.10 × 46,911.48
  4. Step 4: Simplify right side
    152,097x = 10,704,078,551.63
  5. Step 5: Solve for x
    x = 10,704,078,551.63/152,097
  6. Step 6: Final answer
    x = 70,376.66

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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.