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Finding the Fourth Proportional to 141,458.95, 212,056.59 and 97,106.59

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Solution

The fourth proportional to 141,458.95, 212,056.59 and 97,106.59 is: 145,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,458.95 : 212,056.59 = 97,106.59 : x
  2. Step 2: Convert to fraction form
    141,458.95/212,056.59 = 97,106.59/x
  3. Step 3: Cross multiply
    141,458.95x = 212,056.59 × 97,106.59
  4. Step 4: Simplify right side
    141,458.95x = 20,592,091,281.65
  5. Step 5: Solve for x
    x = 20,592,091,281.65/141,458.95
  6. Step 6: Final answer
    x = 145,569.38

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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.