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Finding the Fourth Proportional to 182,284, 273,547.50 and 70,056.88

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Solution

The fourth proportional to 182,284, 273,547.50 and 70,056.88 is: 105,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,284 : 273,547.50 = 70,056.88 : x
  2. Step 2: Convert to fraction form
    182,284/273,547.50 = 70,056.88/x
  3. Step 3: Cross multiply
    182,284x = 273,547.50 × 70,056.88
  4. Step 4: Simplify right side
    182,284x = 19,163,884,381.80
  5. Step 5: Solve for x
    x = 19,163,884,381.80/182,284
  6. Step 6: Final answer
    x = 105,132.02

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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.