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Finding the Fourth Proportional to 97,866.48, 146,637.54 and 89,695.20

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Solution

The fourth proportional to 97,866.48, 146,637.54 and 89,695.20 is: 134,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,866.48 : 146,637.54 = 89,695.20 : x
  2. Step 2: Convert to fraction form
    97,866.48/146,637.54 = 89,695.20/x
  3. Step 3: Cross multiply
    97,866.48x = 146,637.54 × 89,695.20
  4. Step 4: Simplify right side
    97,866.48x = 13,152,683,477.81
  5. Step 5: Solve for x
    x = 13,152,683,477.81/97,866.48
  6. Step 6: Final answer
    x = 134,394.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.