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Finding the Fourth Proportional to 152,298.09, 228,384.16 and 57,512.16

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Solution

The fourth proportional to 152,298.09, 228,384.16 and 57,512.16 is: 86,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,298.09 : 228,384.16 = 57,512.16 : x
  2. Step 2: Convert to fraction form
    152,298.09/228,384.16 = 57,512.16/x
  3. Step 3: Cross multiply
    152,298.09x = 228,384.16 × 57,512.16
  4. Step 4: Simplify right side
    152,298.09x = 13,134,866,207.61
  5. Step 5: Solve for x
    x = 13,134,866,207.61/152,298.09
  6. Step 6: Final answer
    x = 86,244.46

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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.