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Finding the Fourth Proportional to 142,400.30, 213,427.65 and 63,430.70

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Solution

The fourth proportional to 142,400.30, 213,427.65 and 63,430.70 is: 95,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,400.30 : 213,427.65 = 63,430.70 : x
  2. Step 2: Convert to fraction form
    142,400.30/213,427.65 = 63,430.70/x
  3. Step 3: Cross multiply
    142,400.30x = 213,427.65 × 63,430.70
  4. Step 4: Simplify right side
    142,400.30x = 13,537,865,238.86
  5. Step 5: Solve for x
    x = 13,537,865,238.86/142,400.30
  6. Step 6: Final answer
    x = 95,069.08

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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.