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Finding the Fourth Proportional to 142,341, 213,548.64 and 42,501.20

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Solution

The fourth proportional to 142,341, 213,548.64 and 42,501.20 is: 63,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,341 : 213,548.64 = 42,501.20 : x
  2. Step 2: Convert to fraction form
    142,341/213,548.64 = 42,501.20/x
  3. Step 3: Cross multiply
    142,341x = 213,548.64 × 42,501.20
  4. Step 4: Simplify right side
    142,341x = 9,076,073,458.37
  5. Step 5: Solve for x
    x = 9,076,073,458.37/142,341
  6. Step 6: Final answer
    x = 63,762.89

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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.