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Finding the Fourth Proportional to 160,657.38, 221,707.18 and 89,048.16

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Solution

The fourth proportional to 160,657.38, 221,707.18 and 89,048.16 is: 122,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,657.38 : 221,707.18 = 89,048.16 : x
  2. Step 2: Convert to fraction form
    160,657.38/221,707.18 = 89,048.16/x
  3. Step 3: Cross multiply
    160,657.38x = 221,707.18 × 89,048.16
  4. Step 4: Simplify right side
    160,657.38x = 19,742,616,437.79
  5. Step 5: Solve for x
    x = 19,742,616,437.79/160,657.38
  6. Step 6: Final answer
    x = 122,886.46

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Why These Related Problems?

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