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Finding the Fourth Proportional to 178,075.06, 245,735.98 and 97,501.12

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Solution

The fourth proportional to 178,075.06, 245,735.98 and 97,501.12 is: 134,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,075.06 : 245,735.98 = 97,501.12 : x
  2. Step 2: Convert to fraction form
    178,075.06/245,735.98 = 97,501.12/x
  3. Step 3: Cross multiply
    178,075.06x = 245,735.98 × 97,501.12
  4. Step 4: Simplify right side
    178,075.06x = 23,959,533,274.30
  5. Step 5: Solve for x
    x = 23,959,533,274.30/178,075.06
  6. Step 6: Final answer
    x = 134,547.38

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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.