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Finding the Fourth Proportional to 210,130.72, 289,888.40 and 142,123.68

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Solution

The fourth proportional to 210,130.72, 289,888.40 and 142,123.68 is: 196,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,130.72 : 289,888.40 = 142,123.68 : x
  2. Step 2: Convert to fraction form
    210,130.72/289,888.40 = 142,123.68/x
  3. Step 3: Cross multiply
    210,130.72x = 289,888.40 × 142,123.68
  4. Step 4: Simplify right side
    210,130.72x = 41,200,006,197.31
  5. Step 5: Solve for x
    x = 41,200,006,197.31/210,130.72
  6. Step 6: Final answer
    x = 196,068.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.