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Finding the Fourth Proportional to 152,123.98, 228,216.40 and 46,939

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Solution

The fourth proportional to 152,123.98, 228,216.40 and 46,939 is: 70,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,123.98 : 228,216.40 = 46,939 : x
  2. Step 2: Convert to fraction form
    152,123.98/228,216.40 = 46,939/x
  3. Step 3: Cross multiply
    152,123.98x = 228,216.40 × 46,939
  4. Step 4: Simplify right side
    152,123.98x = 10,712,249,599.60
  5. Step 5: Solve for x
    x = 10,712,249,599.60/152,123.98
  6. Step 6: Final answer
    x = 70,417.89

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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.