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Finding the Fourth Proportional to 194,675.40, 292,013.10 and 46,931.40

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Solution

The fourth proportional to 194,675.40, 292,013.10 and 46,931.40 is: 70,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,675.40 : 292,013.10 = 46,931.40 : x
  2. Step 2: Convert to fraction form
    194,675.40/292,013.10 = 46,931.40/x
  3. Step 3: Cross multiply
    194,675.40x = 292,013.10 × 46,931.40
  4. Step 4: Simplify right side
    194,675.40x = 13,704,583,601.34
  5. Step 5: Solve for x
    x = 13,704,583,601.34/194,675.40
  6. Step 6: Final answer
    x = 70,397.10

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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.