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Finding the Fourth Proportional to 160,295.16, 221,395.56 and 128,141.16

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Solution

The fourth proportional to 160,295.16, 221,395.56 and 128,141.16 is: 176,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,295.16 : 221,395.56 = 128,141.16 : x
  2. Step 2: Convert to fraction form
    160,295.16/221,395.56 = 128,141.16/x
  3. Step 3: Cross multiply
    160,295.16x = 221,395.56 × 128,141.16
  4. Step 4: Simplify right side
    160,295.16x = 28,369,883,877.25
  5. Step 5: Solve for x
    x = 28,369,883,877.25/160,295.16
  6. Step 6: Final answer
    x = 176,985.28

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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.