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Finding the Fourth Proportional to 194,547, 291,820.50 and 46,803

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Solution

The fourth proportional to 194,547, 291,820.50 and 46,803 is: 70,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,547 : 291,820.50 = 46,803 : x
  2. Step 2: Convert to fraction form
    194,547/291,820.50 = 46,803/x
  3. Step 3: Cross multiply
    194,547x = 291,820.50 × 46,803
  4. Step 4: Simplify right side
    194,547x = 13,658,074,861.50
  5. Step 5: Solve for x
    x = 13,658,074,861.50/194,547
  6. Step 6: Final answer
    x = 70,204.50

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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.