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Finding the Fourth Proportional to 201,681.90, 302,814.45 and 152,109.90

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Solution

The fourth proportional to 201,681.90, 302,814.45 and 152,109.90 is: 228,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,681.90 : 302,814.45 = 152,109.90 : x
  2. Step 2: Convert to fraction form
    201,681.90/302,814.45 = 152,109.90/x
  3. Step 3: Cross multiply
    201,681.90x = 302,814.45 × 152,109.90
  4. Step 4: Simplify right side
    201,681.90x = 46,061,075,708.06
  5. Step 5: Solve for x
    x = 46,061,075,708.06/201,681.90
  6. Step 6: Final answer
    x = 228,384.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.