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Finding the Fourth Proportional to 145,878.40, 201,312.03 and 78,810.40

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Solution

The fourth proportional to 145,878.40, 201,312.03 and 78,810.40 is: 108,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,878.40 : 201,312.03 = 78,810.40 : x
  2. Step 2: Convert to fraction form
    145,878.40/201,312.03 = 78,810.40/x
  3. Step 3: Cross multiply
    145,878.40x = 201,312.03 × 78,810.40
  4. Step 4: Simplify right side
    145,878.40x = 15,865,481,609.11
  5. Step 5: Solve for x
    x = 15,865,481,609.11/145,878.40
  6. Step 6: Final answer
    x = 108,758.26

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Why These Related Problems?

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