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Finding the Fourth Proportional to 136,812.70, 205,291.14 and 97,088.23

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Solution

The fourth proportional to 136,812.70, 205,291.14 and 97,088.23 is: 145,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,812.70 : 205,291.14 = 97,088.23 : x
  2. Step 2: Convert to fraction form
    136,812.70/205,291.14 = 97,088.23/x
  3. Step 3: Cross multiply
    136,812.70x = 205,291.14 × 97,088.23
  4. Step 4: Simplify right side
    136,812.70x = 19,931,353,417.28
  5. Step 5: Solve for x
    x = 19,931,353,417.28/136,812.70
  6. Step 6: Final answer
    x = 145,683.50

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