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Finding the Fourth Proportional to 142,047.40, 213,071.10 and 97,810.60

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Solution

The fourth proportional to 142,047.40, 213,071.10 and 97,810.60 is: 146,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,047.40 : 213,071.10 = 97,810.60 : x
  2. Step 2: Convert to fraction form
    142,047.40/213,071.10 = 97,810.60/x
  3. Step 3: Cross multiply
    142,047.40x = 213,071.10 × 97,810.60
  4. Step 4: Simplify right side
    142,047.40x = 20,840,612,133.66
  5. Step 5: Solve for x
    x = 20,840,612,133.66/142,047.40
  6. Step 6: Final answer
    x = 146,715.90

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1.5x scale

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.