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Finding the Fourth Proportional to 224,852.47, 310,328.06 and 143,154.63

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Solution

The fourth proportional to 224,852.47, 310,328.06 and 143,154.63 is: 197,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,852.47 : 310,328.06 = 143,154.63 : x
  2. Step 2: Convert to fraction form
    224,852.47/310,328.06 = 143,154.63/x
  3. Step 3: Cross multiply
    224,852.47x = 310,328.06 × 143,154.63
  4. Step 4: Simplify right side
    224,852.47x = 44,424,898,607.92
  5. Step 5: Solve for x
    x = 44,424,898,607.92/224,852.47
  6. Step 6: Final answer
    x = 197,573.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.