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Finding the Fourth Proportional to 152,692.95, 210,715.38 and 84,709.23

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Solution

The fourth proportional to 152,692.95, 210,715.38 and 84,709.23 is: 116,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,692.95 : 210,715.38 = 84,709.23 : x
  2. Step 2: Convert to fraction form
    152,692.95/210,715.38 = 84,709.23/x
  3. Step 3: Cross multiply
    152,692.95x = 210,715.38 × 84,709.23
  4. Step 4: Simplify right side
    152,692.95x = 17,849,537,588.96
  5. Step 5: Solve for x
    x = 17,849,537,588.96/152,692.95
  6. Step 6: Final answer
    x = 116,898.24

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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.