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Finding the Fourth Proportional to 180,885.02, 249,637.11 and 105,431.90

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Solution

The fourth proportional to 180,885.02, 249,637.11 and 105,431.90 is: 145,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,885.02 : 249,637.11 = 105,431.90 : x
  2. Step 2: Convert to fraction form
    180,885.02/249,637.11 = 105,431.90/x
  3. Step 3: Cross multiply
    180,885.02x = 249,637.11 × 105,431.90
  4. Step 4: Simplify right side
    180,885.02x = 26,319,714,817.81
  5. Step 5: Solve for x
    x = 26,319,714,817.81/180,885.02
  6. Step 6: Final answer
    x = 145,505.22

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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.